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Finding the Fourth Proportional to 633.76, 874.47 and 371.68

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Solution

The fourth proportional to 633.76, 874.47 and 371.68 is: 512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.76 : 874.47 = 371.68 : x
  2. Step 2: Convert to fraction form
    633.76/874.47 = 371.68/x
  3. Step 3: Cross multiply
    633.76x = 874.47 × 371.68
  4. Step 4: Simplify right side
    633.76x = 325,023.01
  5. Step 5: Solve for x
    x = 325,023.01/633.76
  6. Step 6: Final answer
    x = 512.85

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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.