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Finding the Fourth Proportional to 635.20, 952.96 and 310.80

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Solution

The fourth proportional to 635.20, 952.96 and 310.80 is: 466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.20 : 952.96 = 310.80 : x
  2. Step 2: Convert to fraction form
    635.20/952.96 = 310.80/x
  3. Step 3: Cross multiply
    635.20x = 952.96 × 310.80
  4. Step 4: Simplify right side
    635.20x = 296,179.97
  5. Step 5: Solve for x
    x = 296,179.97/635.20
  6. Step 6: Final answer
    x = 466.28

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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.