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Finding the Fourth Proportional to 275.92, 414.42 and 243.52

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Solution

The fourth proportional to 275.92, 414.42 and 243.52 is: 365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 414.42 = 243.52 : x
  2. Step 2: Convert to fraction form
    275.92/414.42 = 243.52/x
  3. Step 3: Cross multiply
    275.92x = 414.42 × 243.52
  4. Step 4: Simplify right side
    275.92x = 100,919.56
  5. Step 5: Solve for x
    x = 100,919.56/275.92
  6. Step 6: Final answer
    x = 365.76

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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.