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Finding the Fourth Proportional to 377.88, 522.10 and 336.06

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Solution

The fourth proportional to 377.88, 522.10 and 336.06 is: 464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.88 : 522.10 = 336.06 : x
  2. Step 2: Convert to fraction form
    377.88/522.10 = 336.06/x
  3. Step 3: Cross multiply
    377.88x = 522.10 × 336.06
  4. Step 4: Simplify right side
    377.88x = 175,453.94
  5. Step 5: Solve for x
    x = 175,453.94/377.88
  6. Step 6: Final answer
    x = 464.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.