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Finding the Fourth Proportional to 633.47, 874.31 and 371.48

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Solution

The fourth proportional to 633.47, 874.31 and 371.48 is: 512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.47 : 874.31 = 371.48 : x
  2. Step 2: Convert to fraction form
    633.47/874.31 = 371.48/x
  3. Step 3: Cross multiply
    633.47x = 874.31 × 371.48
  4. Step 4: Simplify right side
    633.47x = 324,789.01
  5. Step 5: Solve for x
    x = 324,789.01/633.47
  6. Step 6: Final answer
    x = 512.71

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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.