JSON.NET serialize JObject while ignoring null properties

Question

I have a JObject which is used as a template for calling RESTful web services. This JObject gets created via a parser and since it

Answer 1

Brian's answer works. I also came up with another (yet still recursive) way of doing it shortly after posting the question, in case anyone else is interested.

private void RemoveNullNodes(JToken root)
{
    if (root is JValue)
    {
        if (((JValue)root).Value == null)
        {
            ((JValue)root).Parent.Remove();
        }
    }
    else if (root is JArray)
    {
        ((JArray)root).ToList().ForEach(n => RemoveNullNodes(n));
        if (!(((JArray)root)).HasValues)
        {
            root.Parent.Remove();
        }
    }
    else if (root is JProperty)
    {
        RemoveNullNodes(((JProperty)root).Value);
    }
    else
    {
        var children = ((JObject)root).Properties().ToList();
        children.ForEach(n => RemoveNullNodes(n));

        if (!((JObject)root).HasValues)
        {
            if (((JObject)root).Parent is JArray)
            {
                ((JArray)root.Parent).Where(x => !x.HasValues).ToList().ForEach(n => n.Remove());
            }
            else
            {
                var propertyParent = ((JObject)root).Parent;
                while (!(propertyParent is JProperty))
                {
                    propertyParent = propertyParent.Parent;
                }
                propertyParent.Remove();
            }
        }
    }
}