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Finding the Fourth Proportional to 363.97, 547.17 and 283.78

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Solution

The fourth proportional to 363.97, 547.17 and 283.78 is: 426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.97 : 547.17 = 283.78 : x
  2. Step 2: Convert to fraction form
    363.97/547.17 = 283.78/x
  3. Step 3: Cross multiply
    363.97x = 547.17 × 283.78
  4. Step 4: Simplify right side
    363.97x = 155,275.90
  5. Step 5: Solve for x
    x = 155,275.90/363.97
  6. Step 6: Final answer
    x = 426.62

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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.