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Finding the Fourth Proportional to 557.73, 769.17 and 380.61

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Solution

The fourth proportional to 557.73, 769.17 and 380.61 is: 524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.73 : 769.17 = 380.61 : x
  2. Step 2: Convert to fraction form
    557.73/769.17 = 380.61/x
  3. Step 3: Cross multiply
    557.73x = 769.17 × 380.61
  4. Step 4: Simplify right side
    557.73x = 292,753.79
  5. Step 5: Solve for x
    x = 292,753.79/557.73
  6. Step 6: Final answer
    x = 524.90

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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.