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Finding the Fourth Proportional to 462.97, 694.46 and 120.97

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Solution

The fourth proportional to 462.97, 694.46 and 120.97 is: 181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.97 : 694.46 = 120.97 : x
  2. Step 2: Convert to fraction form
    462.97/694.46 = 120.97/x
  3. Step 3: Cross multiply
    462.97x = 694.46 × 120.97
  4. Step 4: Simplify right side
    462.97x = 84,008.83
  5. Step 5: Solve for x
    x = 84,008.83/462.97
  6. Step 6: Final answer
    x = 181.46

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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.