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Finding the Fourth Proportional to 414.54, 572.04 and 257.16

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Solution

The fourth proportional to 414.54, 572.04 and 257.16 is: 354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 572.04 = 257.16 : x
  2. Step 2: Convert to fraction form
    414.54/572.04 = 257.16/x
  3. Step 3: Cross multiply
    414.54x = 572.04 × 257.16
  4. Step 4: Simplify right side
    414.54x = 147,105.81
  5. Step 5: Solve for x
    x = 147,105.81/414.54
  6. Step 6: Final answer
    x = 354.87

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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.