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Finding the Fourth Proportional to 462.57, 694.18 and 257.30

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Solution

The fourth proportional to 462.57, 694.18 and 257.30 is: 386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.57 : 694.18 = 257.30 : x
  2. Step 2: Convert to fraction form
    462.57/694.18 = 257.30/x
  3. Step 3: Cross multiply
    462.57x = 694.18 × 257.30
  4. Step 4: Simplify right side
    462.57x = 178,607.76
  5. Step 5: Solve for x
    x = 178,607.76/462.57
  6. Step 6: Final answer
    x = 386.12

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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.