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Finding the Fourth Proportional to 414.88, 572.46 and 249.04

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Solution

The fourth proportional to 414.88, 572.46 and 249.04 is: 343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.88 : 572.46 = 249.04 : x
  2. Step 2: Convert to fraction form
    414.88/572.46 = 249.04/x
  3. Step 3: Cross multiply
    414.88x = 572.46 × 249.04
  4. Step 4: Simplify right side
    414.88x = 142,565.44
  5. Step 5: Solve for x
    x = 142,565.44/414.88
  6. Step 6: Final answer
    x = 343.63

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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.