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Finding the Fourth Proportional to 372.78, 559.10 and 270.92

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Solution

The fourth proportional to 372.78, 559.10 and 270.92 is: 406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.78 : 559.10 = 270.92 : x
  2. Step 2: Convert to fraction form
    372.78/559.10 = 270.92/x
  3. Step 3: Cross multiply
    372.78x = 559.10 × 270.92
  4. Step 4: Simplify right side
    372.78x = 151,473.45
  5. Step 5: Solve for x
    x = 151,473.45/372.78
  6. Step 6: Final answer
    x = 406.33

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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.