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Finding the Fourth Proportional to 634.69, 952.05 and 269.22

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Solution

The fourth proportional to 634.69, 952.05 and 269.22 is: 403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.69 : 952.05 = 269.22 : x
  2. Step 2: Convert to fraction form
    634.69/952.05 = 269.22/x
  3. Step 3: Cross multiply
    634.69x = 952.05 × 269.22
  4. Step 4: Simplify right side
    634.69x = 256,315.48
  5. Step 5: Solve for x
    x = 256,315.48/634.69
  6. Step 6: Final answer
    x = 403.85

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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.