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Finding the Fourth Proportional to 398.52, 550.17 and 273.96

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Solution

The fourth proportional to 398.52, 550.17 and 273.96 is: 378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.52 : 550.17 = 273.96 : x
  2. Step 2: Convert to fraction form
    398.52/550.17 = 273.96/x
  3. Step 3: Cross multiply
    398.52x = 550.17 × 273.96
  4. Step 4: Simplify right side
    398.52x = 150,724.57
  5. Step 5: Solve for x
    x = 150,724.57/398.52
  6. Step 6: Final answer
    x = 378.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.