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Finding the Fourth Proportional to 462.74, 694.31 and 154.64

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Solution

The fourth proportional to 462.74, 694.31 and 154.64 is: 232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.74 : 694.31 = 154.64 : x
  2. Step 2: Convert to fraction form
    462.74/694.31 = 154.64/x
  3. Step 3: Cross multiply
    462.74x = 694.31 × 154.64
  4. Step 4: Simplify right side
    462.74x = 107,363.85
  5. Step 5: Solve for x
    x = 107,363.85/462.74
  6. Step 6: Final answer
    x = 232.02

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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.