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Finding the Fourth Proportional to 733.20, 1,099.78 and 220.20

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Solution

The fourth proportional to 733.20, 1,099.78 and 220.20 is: 330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.20 : 1,099.78 = 220.20 : x
  2. Step 2: Convert to fraction form
    733.20/1,099.78 = 220.20/x
  3. Step 3: Cross multiply
    733.20x = 1,099.78 × 220.20
  4. Step 4: Simplify right side
    733.20x = 242,171.56
  5. Step 5: Solve for x
    x = 242,171.56/733.20
  6. Step 6: Final answer
    x = 330.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.