The problem here is not with Fortran, in fact it is not a problem at all. This is just a feature of floating-point arithmetic. If you think about how you would represent 23.234 as a 'single float' in binary, you would see that the number has to be saved to only so many decimals of precision.
The thing to remember about float point number is: numbers that look round and even in base-10 probably won't in binary.
For a brief overview of floating-point topics, check the Wikipedia article. And for a VERY thorough explanation, check out the canonical paper by Goldberg (PDF).
