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Finding the Fourth Proportional to 492.20, 677.10 and 432.12

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Solution

The fourth proportional to 492.20, 677.10 and 432.12 is: 594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.20 : 677.10 = 432.12 : x
  2. Step 2: Convert to fraction form
    492.20/677.10 = 432.12/x
  3. Step 3: Cross multiply
    492.20x = 677.10 × 432.12
  4. Step 4: Simplify right side
    492.20x = 292,592.61
  5. Step 5: Solve for x
    x = 292,592.61/492.20
  6. Step 6: Final answer
    x = 594.46

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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.