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Finding the Fourth Proportional to 462.78, 694.17 and 270.18

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Solution

The fourth proportional to 462.78, 694.17 and 270.18 is: 405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.78 : 694.17 = 270.18 : x
  2. Step 2: Convert to fraction form
    462.78/694.17 = 270.18/x
  3. Step 3: Cross multiply
    462.78x = 694.17 × 270.18
  4. Step 4: Simplify right side
    462.78x = 187,550.85
  5. Step 5: Solve for x
    x = 187,550.85/462.78
  6. Step 6: Final answer
    x = 405.27

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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.