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Finding the Fourth Proportional to 562.38, 842.91 and 237.66

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Solution

The fourth proportional to 562.38, 842.91 and 237.66 is: 356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.38 : 842.91 = 237.66 : x
  2. Step 2: Convert to fraction form
    562.38/842.91 = 237.66/x
  3. Step 3: Cross multiply
    562.38x = 842.91 × 237.66
  4. Step 4: Simplify right side
    562.38x = 200,325.99
  5. Step 5: Solve for x
    x = 200,325.99/562.38
  6. Step 6: Final answer
    x = 356.21

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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.