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Finding the Fourth Proportional to 414.64, 572.17 and 237.62

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Solution

The fourth proportional to 414.64, 572.17 and 237.62 is: 327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.64 : 572.17 = 237.62 : x
  2. Step 2: Convert to fraction form
    414.64/572.17 = 237.62/x
  3. Step 3: Cross multiply
    414.64x = 572.17 × 237.62
  4. Step 4: Simplify right side
    414.64x = 135,959.04
  5. Step 5: Solve for x
    x = 135,959.04/414.64
  6. Step 6: Final answer
    x = 327.90

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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.