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Finding the Fourth Proportional to 634.43, 951.64 and 223.70

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Solution

The fourth proportional to 634.43, 951.64 and 223.70 is: 335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.43 : 951.64 = 223.70 : x
  2. Step 2: Convert to fraction form
    634.43/951.64 = 223.70/x
  3. Step 3: Cross multiply
    634.43x = 951.64 × 223.70
  4. Step 4: Simplify right side
    634.43x = 212,876.55
  5. Step 5: Solve for x
    x = 212,876.55/634.43
  6. Step 6: Final answer
    x = 335.54

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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.