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Finding the Fourth Proportional to 634.84, 952.38 and 269.56

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Solution

The fourth proportional to 634.84, 952.38 and 269.56 is: 404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.84 : 952.38 = 269.56 : x
  2. Step 2: Convert to fraction form
    634.84/952.38 = 269.56/x
  3. Step 3: Cross multiply
    634.84x = 952.38 × 269.56
  4. Step 4: Simplify right side
    634.84x = 256,723.55
  5. Step 5: Solve for x
    x = 256,723.55/634.84
  6. Step 6: Final answer
    x = 404.39

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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.