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Finding the Fourth Proportional to 634.73, 952.27 and 634.73

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Solution

The fourth proportional to 634.73, 952.27 and 634.73 is: 952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.73 : 952.27 = 634.73 : x
  2. Step 2: Convert to fraction form
    634.73/952.27 = 634.73/x
  3. Step 3: Cross multiply
    634.73x = 952.27 × 634.73
  4. Step 4: Simplify right side
    634.73x = 604,434.34
  5. Step 5: Solve for x
    x = 604,434.34/634.73
  6. Step 6: Final answer
    x = 952.27

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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.