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Finding the Fourth Proportional to 414.57, 572.25 and 257.23

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Solution

The fourth proportional to 414.57, 572.25 and 257.23 is: 355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.57 : 572.25 = 257.23 : x
  2. Step 2: Convert to fraction form
    414.57/572.25 = 257.23/x
  3. Step 3: Cross multiply
    414.57x = 572.25 × 257.23
  4. Step 4: Simplify right side
    414.57x = 147,197.01
  5. Step 5: Solve for x
    x = 147,197.01/414.57
  6. Step 6: Final answer
    x = 355.06

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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.