They are different words:
To get along: How are you faring with your project?
To go or happen: How does it fare with you?
To travel; go.
To dine; eat.
The only example I can think of with 'fared' ..while being ill and not completely happy, he still fared well.. (same as writing 'did')
To join (pieces) so as to be smooth, even, or regular: faired the aircraft's wing into the fuselage.
Well, to most it's easier to understand the full meaning and use of each word.
Fair: Free from favoritism; or conforming to established rules. Playing fair by the rules set forth. A person is being unfair by not following the rules set forth.
Faired: Past tense for fair, become fine, fairing off some. The weather is fairing off, becoming better or fine. Fairing off a material to become smoother, creating less drag.
Fared: Performing in a specific situation over a time period. Coming along, survive. A person may or may not fare very well in a particular situation. A diseased plant is faring well when it's getting better.