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Finding the Fourth Proportional to 462.73, 694.11 and 150.42

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Solution

The fourth proportional to 462.73, 694.11 and 150.42 is: 225.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.73 : 694.11 = 150.42 : x
  2. Step 2: Convert to fraction form
    462.73/694.11 = 150.42/x
  3. Step 3: Cross multiply
    462.73x = 694.11 × 150.42
  4. Step 4: Simplify right side
    462.73x = 104,408.03
  5. Step 5: Solve for x
    x = 104,408.03/462.73
  6. Step 6: Final answer
    x = 225.63

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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.