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Finding the Fourth Proportional to 634.92, 952.14 and 310.20

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Solution

The fourth proportional to 634.92, 952.14 and 310.20 is: 465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.92 : 952.14 = 310.20 : x
  2. Step 2: Convert to fraction form
    634.92/952.14 = 310.20/x
  3. Step 3: Cross multiply
    634.92x = 952.14 × 310.20
  4. Step 4: Simplify right side
    634.92x = 295,353.83
  5. Step 5: Solve for x
    x = 295,353.83/634.92
  6. Step 6: Final answer
    x = 465.18

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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.