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Finding the Fourth Proportional to 382.10, 572.52 and 237.52

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Solution

The fourth proportional to 382.10, 572.52 and 237.52 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.10 : 572.52 = 237.52 : x
  2. Step 2: Convert to fraction form
    382.10/572.52 = 237.52/x
  3. Step 3: Cross multiply
    382.10x = 572.52 × 237.52
  4. Step 4: Simplify right side
    382.10x = 135,982.09
  5. Step 5: Solve for x
    x = 135,982.09/382.10
  6. Step 6: Final answer
    x = 355.88

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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.