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Finding the Fourth Proportional to 635.31, 952.69 and 342.73

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Solution

The fourth proportional to 635.31, 952.69 and 342.73 is: 513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.31 : 952.69 = 342.73 : x
  2. Step 2: Convert to fraction form
    635.31/952.69 = 342.73/x
  3. Step 3: Cross multiply
    635.31x = 952.69 × 342.73
  4. Step 4: Simplify right side
    635.31x = 326,515.44
  5. Step 5: Solve for x
    x = 326,515.44/635.31
  6. Step 6: Final answer
    x = 513.95

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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.