Using Rin-gameboy emulator with VisualBoy Advance
The issue here is that Virtual Boy Advance likes to format it's .sav's differently than things like no$gba and RIN (Which I have on PSP, so I'll be using that as reference, they shouldn't be too different).
Virtual Boy Advance has an option in the "File" drop-down menu called "Import." If you're taking the actual save data, you'll select "Battery file" from the "Import" sub-menu. If you're trying to get a save state, load the state from file in the the "Load State" sub-menu of "File."
If it can't convert the RIN file, try doing an export in RIN, and if that isn't an option, I think that no$gba would be able to convert the RIN file into something VBA could read, or you could just use no$gba, though I definitely prefer VBA.