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Finding the Fourth Proportional to 633.75, 874.56 and 447.04

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Solution

The fourth proportional to 633.75, 874.56 and 447.04 is: 616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.75 : 874.56 = 447.04 : x
  2. Step 2: Convert to fraction form
    633.75/874.56 = 447.04/x
  3. Step 3: Cross multiply
    633.75x = 874.56 × 447.04
  4. Step 4: Simplify right side
    633.75x = 390,963.30
  5. Step 5: Solve for x
    x = 390,963.30/633.75
  6. Step 6: Final answer
    x = 616.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.