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Finding the Fourth Proportional to 414.72, 572.94 and 411.48

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Solution

The fourth proportional to 414.72, 572.94 and 411.48 is: 568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 572.94 = 411.48 : x
  2. Step 2: Convert to fraction form
    414.72/572.94 = 411.48/x
  3. Step 3: Cross multiply
    414.72x = 572.94 × 411.48
  4. Step 4: Simplify right side
    414.72x = 235,753.35
  5. Step 5: Solve for x
    x = 235,753.35/414.72
  6. Step 6: Final answer
    x = 568.46

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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.