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Finding the Fourth Proportional to 633.24, 874.07 and 371.31

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Solution

The fourth proportional to 633.24, 874.07 and 371.31 is: 512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.24 : 874.07 = 371.31 : x
  2. Step 2: Convert to fraction form
    633.24/874.07 = 371.31/x
  3. Step 3: Cross multiply
    633.24x = 874.07 × 371.31
  4. Step 4: Simplify right side
    633.24x = 324,549.08
  5. Step 5: Solve for x
    x = 324,549.08/633.24
  6. Step 6: Final answer
    x = 512.52

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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.