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Finding the Fourth Proportional to 418.87, 578.44 and 269.73

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Solution

The fourth proportional to 418.87, 578.44 and 269.73 is: 372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.87 : 578.44 = 269.73 : x
  2. Step 2: Convert to fraction form
    418.87/578.44 = 269.73/x
  3. Step 3: Cross multiply
    418.87x = 578.44 × 269.73
  4. Step 4: Simplify right side
    418.87x = 156,022.96
  5. Step 5: Solve for x
    x = 156,022.96/418.87
  6. Step 6: Final answer
    x = 372.48

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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.