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Finding the Fourth Proportional to 643.38, 887.67 and 447.09

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Solution

The fourth proportional to 643.38, 887.67 and 447.09 is: 616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.38 : 887.67 = 447.09 : x
  2. Step 2: Convert to fraction form
    643.38/887.67 = 447.09/x
  3. Step 3: Cross multiply
    643.38x = 887.67 × 447.09
  4. Step 4: Simplify right side
    643.38x = 396,868.38
  5. Step 5: Solve for x
    x = 396,868.38/643.38
  6. Step 6: Final answer
    x = 616.85

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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.