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Finding the Fourth Proportional to 635.38, 952.72 and 343.23

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Solution

The fourth proportional to 635.38, 952.72 and 343.23 is: 514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.38 : 952.72 = 343.23 : x
  2. Step 2: Convert to fraction form
    635.38/952.72 = 343.23/x
  3. Step 3: Cross multiply
    635.38x = 952.72 × 343.23
  4. Step 4: Simplify right side
    635.38x = 326,995.61
  5. Step 5: Solve for x
    x = 326,995.61/635.38
  6. Step 6: Final answer
    x = 514.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.