Final answer:
The final process for proteins that are tagged for secretion is called exocytosis, which involves their packaging into secretory vesicles in the Golgi apparatus and subsequent fusion with the plasma membrane to release their contents outside the cell.
Step-by-step explanation:
The final process for proteins tagged for secretion in eukaryotic cells is known as exocytosis. This process begins with the synthesis of the protein on the ribosome, followed by modification in the endoplasmic reticulum, and then tagging in the Golgi apparatus. The modified and tagged proteins are packaged into secretory vesicles that bud off from the Golgi's trans face. These secretory vesicles then move towards the plasma membrane of the cell, where they fuse with it and release their contents outside the cell. The whole pathway ensures that proteins destined for secretion reach their proper extracellular locations.