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Finding the Fourth Proportional to 665.61, 998.42 and 232.89

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Solution

The fourth proportional to 665.61, 998.42 and 232.89 is: 349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.61 : 998.42 = 232.89 : x
  2. Step 2: Convert to fraction form
    665.61/998.42 = 232.89/x
  3. Step 3: Cross multiply
    665.61x = 998.42 × 232.89
  4. Step 4: Simplify right side
    665.61x = 232,520.87
  5. Step 5: Solve for x
    x = 232,520.87/665.61
  6. Step 6: Final answer
    x = 349.34

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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.