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Finding the Fourth Proportional to 414.95, 572.46 and 257.53

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Solution

The fourth proportional to 414.95, 572.46 and 257.53 is: 355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.95 : 572.46 = 257.53 : x
  2. Step 2: Convert to fraction form
    414.95/572.46 = 257.53/x
  3. Step 3: Cross multiply
    414.95x = 572.46 × 257.53
  4. Step 4: Simplify right side
    414.95x = 147,425.62
  5. Step 5: Solve for x
    x = 147,425.62/414.95
  6. Step 6: Final answer
    x = 355.29

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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.