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Finding the Fourth Proportional to 409.73, 616.02 and 329.14

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Solution

The fourth proportional to 409.73, 616.02 and 329.14 is: 494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.73 : 616.02 = 329.14 : x
  2. Step 2: Convert to fraction form
    409.73/616.02 = 329.14/x
  3. Step 3: Cross multiply
    409.73x = 616.02 × 329.14
  4. Step 4: Simplify right side
    409.73x = 202,755.28
  5. Step 5: Solve for x
    x = 202,755.28/409.73
  6. Step 6: Final answer
    x = 494.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.