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Finding the Fourth Proportional to 462.46, 693.82 and 257.17

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Solution

The fourth proportional to 462.46, 693.82 and 257.17 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.46 : 693.82 = 257.17 : x
  2. Step 2: Convert to fraction form
    462.46/693.82 = 257.17/x
  3. Step 3: Cross multiply
    462.46x = 693.82 × 257.17
  4. Step 4: Simplify right side
    462.46x = 178,432.16
  5. Step 5: Solve for x
    x = 178,432.16/462.46
  6. Step 6: Final answer
    x = 385.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.