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Finding the Fourth Proportional to 414.72, 572.42 and 257.36

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Solution

The fourth proportional to 414.72, 572.42 and 257.36 is: 355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.72 : 572.42 = 257.36 : x
  2. Step 2: Convert to fraction form
    414.72/572.42 = 257.36/x
  3. Step 3: Cross multiply
    414.72x = 572.42 × 257.36
  4. Step 4: Simplify right side
    414.72x = 147,318.01
  5. Step 5: Solve for x
    x = 147,318.01/414.72
  6. Step 6: Final answer
    x = 355.22

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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.