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Finding the Fourth Proportional to 634.73, 952.12 and 600.10

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Solution

The fourth proportional to 634.73, 952.12 and 600.10 is: 900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.73 : 952.12 = 600.10 : x
  2. Step 2: Convert to fraction form
    634.73/952.12 = 600.10/x
  3. Step 3: Cross multiply
    634.73x = 952.12 × 600.10
  4. Step 4: Simplify right side
    634.73x = 571,367.21
  5. Step 5: Solve for x
    x = 571,367.21/634.73
  6. Step 6: Final answer
    x = 900.17

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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.