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Finding the Fourth Proportional to 562.47, 843.72 and 237.78

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Solution

The fourth proportional to 562.47, 843.72 and 237.78 is: 356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.47 : 843.72 = 237.78 : x
  2. Step 2: Convert to fraction form
    562.47/843.72 = 237.78/x
  3. Step 3: Cross multiply
    562.47x = 843.72 × 237.78
  4. Step 4: Simplify right side
    562.47x = 200,619.74
  5. Step 5: Solve for x
    x = 200,619.74/562.47
  6. Step 6: Final answer
    x = 356.68

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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.