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Finding the Fourth Proportional to 462.92, 694.30 and 154.71

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Solution

The fourth proportional to 462.92, 694.30 and 154.71 is: 232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 694.30 = 154.71 : x
  2. Step 2: Convert to fraction form
    462.92/694.30 = 154.71/x
  3. Step 3: Cross multiply
    462.92x = 694.30 × 154.71
  4. Step 4: Simplify right side
    462.92x = 107,415.15
  5. Step 5: Solve for x
    x = 107,415.15/462.92
  6. Step 6: Final answer
    x = 232.04

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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.