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Finding the Fourth Proportional to 414.47, 572.13 and 257.24

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Solution

The fourth proportional to 414.47, 572.13 and 257.24 is: 355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.47 : 572.13 = 257.24 : x
  2. Step 2: Convert to fraction form
    414.47/572.13 = 257.24/x
  3. Step 3: Cross multiply
    414.47x = 572.13 × 257.24
  4. Step 4: Simplify right side
    414.47x = 147,176.15
  5. Step 5: Solve for x
    x = 147,176.15/414.47
  6. Step 6: Final answer
    x = 355.09

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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.