1. **State the problem:** Calculate the sum of 84 and 379. 2. **Formula used:** Addition of two numbers is given by $$a + b$$ where $a=84$ and $b=379$. 3. **Perform the addition:** $$84 + 379 = 463$$ 4. **Explanation:** Adding 84 and 379 means combining their values to get a total amount. We add the digits starting from the right (units place) and carry over if needed. 5. **Final answer:** $$\boxed{463}$$