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Finding the Fourth Proportional to 447.75, 617.95 and 323.82

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Solution

The fourth proportional to 447.75, 617.95 and 323.82 is: 446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.75 : 617.95 = 323.82 : x
  2. Step 2: Convert to fraction form
    447.75/617.95 = 323.82/x
  3. Step 3: Cross multiply
    447.75x = 617.95 × 323.82
  4. Step 4: Simplify right side
    447.75x = 200,104.97
  5. Step 5: Solve for x
    x = 200,104.97/447.75
  6. Step 6: Final answer
    x = 446.91

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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.