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Finding the Fourth Proportional to 634.31, 951.46 and 268.85

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Solution

The fourth proportional to 634.31, 951.46 and 268.85 is: 403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.31 : 951.46 = 268.85 : x
  2. Step 2: Convert to fraction form
    634.31/951.46 = 268.85/x
  3. Step 3: Cross multiply
    634.31x = 951.46 × 268.85
  4. Step 4: Simplify right side
    634.31x = 255,794.59
  5. Step 5: Solve for x
    x = 255,794.59/634.31
  6. Step 6: Final answer
    x = 403.27

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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.