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Finding the Fourth Proportional to 733.25, 1,100.01 and 239.76

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Solution

The fourth proportional to 733.25, 1,100.01 and 239.76 is: 359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.25 : 1,100.01 = 239.76 : x
  2. Step 2: Convert to fraction form
    733.25/1,100.01 = 239.76/x
  3. Step 3: Cross multiply
    733.25x = 1,100.01 × 239.76
  4. Step 4: Simplify right side
    733.25x = 263,737.27
  5. Step 5: Solve for x
    x = 263,737.27/733.25
  6. Step 6: Final answer
    x = 359.68

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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.