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Finding the Fourth Proportional to 633.75, 874.60 and 447.30

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Solution

The fourth proportional to 633.75, 874.60 and 447.30 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.75 : 874.60 = 447.30 : x
  2. Step 2: Convert to fraction form
    633.75/874.60 = 447.30/x
  3. Step 3: Cross multiply
    633.75x = 874.60 × 447.30
  4. Step 4: Simplify right side
    633.75x = 391,205.00
  5. Step 5: Solve for x
    x = 391,205.00/633.75
  6. Step 6: Final answer
    x = 617.29

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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.