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Finding the Fourth Proportional to 665.48, 998.00 and 232.53

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Solution

The fourth proportional to 665.48, 998.00 and 232.53 is: 348.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.48 : 998.00 = 232.53 : x
  2. Step 2: Convert to fraction form
    665.48/998.00 = 232.53/x
  3. Step 3: Cross multiply
    665.48x = 998.00 × 232.53
  4. Step 4: Simplify right side
    665.48x = 232,063.78
  5. Step 5: Solve for x
    x = 232,063.78/665.48
  6. Step 6: Final answer
    x = 348.72

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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.