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Finding the Fourth Proportional to 638.44, 952.70 and 565.54

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Solution

The fourth proportional to 638.44, 952.70 and 565.54 is: 843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.44 : 952.70 = 565.54 : x
  2. Step 2: Convert to fraction form
    638.44/952.70 = 565.54/x
  3. Step 3: Cross multiply
    638.44x = 952.70 × 565.54
  4. Step 4: Simplify right side
    638.44x = 538,789.96
  5. Step 5: Solve for x
    x = 538,789.96/638.44
  6. Step 6: Final answer
    x = 843.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.