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Finding the Fourth Proportional to 665.34, 997.34 and 232.12

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Solution

The fourth proportional to 665.34, 997.34 and 232.12 is: 347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 997.34 = 232.12 : x
  2. Step 2: Convert to fraction form
    665.34/997.34 = 232.12/x
  3. Step 3: Cross multiply
    665.34x = 997.34 × 232.12
  4. Step 4: Simplify right side
    665.34x = 231,502.56
  5. Step 5: Solve for x
    x = 231,502.56/665.34
  6. Step 6: Final answer
    x = 347.95

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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.