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Finding the Fourth Proportional to 634.53, 951.27 and 269.27

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Solution

The fourth proportional to 634.53, 951.27 and 269.27 is: 403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.53 : 951.27 = 269.27 : x
  2. Step 2: Convert to fraction form
    634.53/951.27 = 269.27/x
  3. Step 3: Cross multiply
    634.53x = 951.27 × 269.27
  4. Step 4: Simplify right side
    634.53x = 256,152.38
  5. Step 5: Solve for x
    x = 256,152.38/634.53
  6. Step 6: Final answer
    x = 403.69

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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.