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Finding the Fourth Proportional to 665.37, 998.10 and 232.38

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Solution

The fourth proportional to 665.37, 998.10 and 232.38 is: 348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.37 : 998.10 = 232.38 : x
  2. Step 2: Convert to fraction form
    665.37/998.10 = 232.38/x
  3. Step 3: Cross multiply
    665.37x = 998.10 × 232.38
  4. Step 4: Simplify right side
    665.37x = 231,938.48
  5. Step 5: Solve for x
    x = 231,938.48/665.37
  6. Step 6: Final answer
    x = 348.59

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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.