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Finding the Fourth Proportional to 562.92, 843.57 and 400.92

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Solution

The fourth proportional to 562.92, 843.57 and 400.92 is: 600.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.92 : 843.57 = 400.92 : x
  2. Step 2: Convert to fraction form
    562.92/843.57 = 400.92/x
  3. Step 3: Cross multiply
    562.92x = 843.57 × 400.92
  4. Step 4: Simplify right side
    562.92x = 338,204.08
  5. Step 5: Solve for x
    x = 338,204.08/562.92
  6. Step 6: Final answer
    x = 600.80

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