Fodora download page is:
Fedora Project
You can certainly run the versions labeled i386. I'm pretty sure that you are compatable with the versions labeled i686 as well. The i686 chips first cam out in the mid 90's and I doubt that anything earlier than that can run at 300 MHZ.
You will need to decide which you want. The install media is what you're used to. You boot it and it interacts with you to install the OS on a hard disk. The "live media" is different. You boot it and it ignores the hard disk. You do not install anything... it is an OS on a CD. Pretty cool way to try out an OS, but not how I would want to operate.