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Finding the Fourth Proportional to 372.97, 557.85 and 363.02

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Solution

The fourth proportional to 372.97, 557.85 and 363.02 is: 542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.97 : 557.85 = 363.02 : x
  2. Step 2: Convert to fraction form
    372.97/557.85 = 363.02/x
  3. Step 3: Cross multiply
    372.97x = 557.85 × 363.02
  4. Step 4: Simplify right side
    372.97x = 202,509.28
  5. Step 5: Solve for x
    x = 202,509.28/372.97
  6. Step 6: Final answer
    x = 542.96

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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.