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Finding the Fourth Proportional to 441.25, 660.96 and 408.85

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Solution

The fourth proportional to 441.25, 660.96 and 408.85 is: 612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.25 : 660.96 = 408.85 : x
  2. Step 2: Convert to fraction form
    441.25/660.96 = 408.85/x
  3. Step 3: Cross multiply
    441.25x = 660.96 × 408.85
  4. Step 4: Simplify right side
    441.25x = 270,231.84
  5. Step 5: Solve for x
    x = 270,231.84/441.25
  6. Step 6: Final answer
    x = 612.43

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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.