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Finding the Fourth Proportional to 414.92, 572.56 and 249.22

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Solution

The fourth proportional to 414.92, 572.56 and 249.22 is: 343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.92 : 572.56 = 249.22 : x
  2. Step 2: Convert to fraction form
    414.92/572.56 = 249.22/x
  3. Step 3: Cross multiply
    414.92x = 572.56 × 249.22
  4. Step 4: Simplify right side
    414.92x = 142,693.50
  5. Step 5: Solve for x
    x = 142,693.50/414.92
  6. Step 6: Final answer
    x = 343.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.