Learn English – meaning of the phrase “some kind of X”

In this sentence "just fine" means the same as "ok." It is slightly less positive than "well." It can also indicate that the person speaking is feeling defensive in response to the question.

In this context:

Raising, is the process by which a child is cared for until adulthood. It is close to or synonymous with "rearing" or "parenting".

Now I'm not sure exactly which part of speech "Raised" is -- some past participle or something -- but it is often preceded by some part of the verb "to be", as in "to be raised" or, in this case "Being raised", which means something like "The fact that we were raised..."

Finally, "Right" is some positive valuation. It is close to or synonymous with "properly", or "correctly", or "well".

Thus, taking one of the examples returned from that URL; i.e. the one saying:

Being raised right doesn't mean we won't make mistakes...

the meaning is something like:

The fact that we were parented properly doesn't mean we won't make mistakes...

That said, that's a bit stilted as a translation. It would probably be more common to use yet another colloquial phrase and say:

The fact that we were brought up properly doesn't mean we won't make mistakes...