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Finding the Fourth Proportional to 363.92, 543.31 and 329.90

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Solution

The fourth proportional to 363.92, 543.31 and 329.90 is: 492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.92 : 543.31 = 329.90 : x
  2. Step 2: Convert to fraction form
    363.92/543.31 = 329.90/x
  3. Step 3: Cross multiply
    363.92x = 543.31 × 329.90
  4. Step 4: Simplify right side
    363.92x = 179,237.97
  5. Step 5: Solve for x
    x = 179,237.97/363.92
  6. Step 6: Final answer
    x = 492.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.