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Finding the Fourth Proportional to 414.68, 572.12 and 257.44

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Solution

The fourth proportional to 414.68, 572.12 and 257.44 is: 355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 572.12 = 257.44 : x
  2. Step 2: Convert to fraction form
    414.68/572.12 = 257.44/x
  3. Step 3: Cross multiply
    414.68x = 572.12 × 257.44
  4. Step 4: Simplify right side
    414.68x = 147,283.86
  5. Step 5: Solve for x
    x = 147,283.86/414.68
  6. Step 6: Final answer
    x = 355.17

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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.