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Finding the Fourth Proportional to 733.76, 1,100.72 and 240.22

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Solution

The fourth proportional to 733.76, 1,100.72 and 240.22 is: 360.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.76 : 1,100.72 = 240.22 : x
  2. Step 2: Convert to fraction form
    733.76/1,100.72 = 240.22/x
  3. Step 3: Cross multiply
    733.76x = 1,100.72 × 240.22
  4. Step 4: Simplify right side
    733.76x = 264,414.96
  5. Step 5: Solve for x
    x = 264,414.96/733.76
  6. Step 6: Final answer
    x = 360.36

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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.