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Finding the Fourth Proportional to 665.24, 997.99 and 232.34

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Solution

The fourth proportional to 665.24, 997.99 and 232.34 is: 348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.24 : 997.99 = 232.34 : x
  2. Step 2: Convert to fraction form
    665.24/997.99 = 232.34/x
  3. Step 3: Cross multiply
    665.24x = 997.99 × 232.34
  4. Step 4: Simplify right side
    665.24x = 231,867.43
  5. Step 5: Solve for x
    x = 231,867.43/665.24
  6. Step 6: Final answer
    x = 348.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.