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Finding the Fourth Proportional to 664.87, 997.31 and 232.03

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Solution

The fourth proportional to 664.87, 997.31 and 232.03 is: 348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.87 : 997.31 = 232.03 : x
  2. Step 2: Convert to fraction form
    664.87/997.31 = 232.03/x
  3. Step 3: Cross multiply
    664.87x = 997.31 × 232.03
  4. Step 4: Simplify right side
    664.87x = 231,400.94
  5. Step 5: Solve for x
    x = 231,400.94/664.87
  6. Step 6: Final answer
    x = 348.04

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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.