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Finding the Fourth Proportional to 634.05, 952.11 and 532.17

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Solution

The fourth proportional to 634.05, 952.11 and 532.17 is: 799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.05 : 952.11 = 532.17 : x
  2. Step 2: Convert to fraction form
    634.05/952.11 = 532.17/x
  3. Step 3: Cross multiply
    634.05x = 952.11 × 532.17
  4. Step 4: Simplify right side
    634.05x = 506,684.38
  5. Step 5: Solve for x
    x = 506,684.38/634.05
  6. Step 6: Final answer
    x = 799.12

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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.