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Finding the Fourth Proportional to 330.48, 496.33 and 269.73

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Solution

The fourth proportional to 330.48, 496.33 and 269.73 is: 405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 496.33 = 269.73 : x
  2. Step 2: Convert to fraction form
    330.48/496.33 = 269.73/x
  3. Step 3: Cross multiply
    330.48x = 496.33 × 269.73
  4. Step 4: Simplify right side
    330.48x = 133,874.42
  5. Step 5: Solve for x
    x = 133,874.42/330.48
  6. Step 6: Final answer
    x = 405.09

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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.