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Finding the Fourth Proportional to 441.97, 663.49 and 280.33

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Solution

The fourth proportional to 441.97, 663.49 and 280.33 is: 420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.97 : 663.49 = 280.33 : x
  2. Step 2: Convert to fraction form
    441.97/663.49 = 280.33/x
  3. Step 3: Cross multiply
    441.97x = 663.49 × 280.33
  4. Step 4: Simplify right side
    441.97x = 185,996.15
  5. Step 5: Solve for x
    x = 185,996.15/441.97
  6. Step 6: Final answer
    x = 420.83

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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.