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Finding the Fourth Proportional to 665.24, 997.97 and 232.30

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Solution

The fourth proportional to 665.24, 997.97 and 232.30 is: 348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.24 : 997.97 = 232.30 : x
  2. Step 2: Convert to fraction form
    665.24/997.97 = 232.30/x
  3. Step 3: Cross multiply
    665.24x = 997.97 × 232.30
  4. Step 4: Simplify right side
    665.24x = 231,828.43
  5. Step 5: Solve for x
    x = 231,828.43/665.24
  6. Step 6: Final answer
    x = 348.49

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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.