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Finding the Fourth Proportional to 634.80, 952.19 and 342.43

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Solution

The fourth proportional to 634.80, 952.19 and 342.43 is: 513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.80 : 952.19 = 342.43 : x
  2. Step 2: Convert to fraction form
    634.80/952.19 = 342.43/x
  3. Step 3: Cross multiply
    634.80x = 952.19 × 342.43
  4. Step 4: Simplify right side
    634.80x = 326,063.80
  5. Step 5: Solve for x
    x = 326,063.80/634.80
  6. Step 6: Final answer
    x = 513.65

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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.