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Finding the Fourth Proportional to 634.72, 951.90 and 223.84

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Solution

The fourth proportional to 634.72, 951.90 and 223.84 is: 335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.72 : 951.90 = 223.84 : x
  2. Step 2: Convert to fraction form
    634.72/951.90 = 223.84/x
  3. Step 3: Cross multiply
    634.72x = 951.90 × 223.84
  4. Step 4: Simplify right side
    634.72x = 213,073.30
  5. Step 5: Solve for x
    x = 213,073.30/634.72
  6. Step 6: Final answer
    x = 335.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.