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Finding the Fourth Proportional to 729.27, 1,093.37 and 344.43

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Solution

The fourth proportional to 729.27, 1,093.37 and 344.43 is: 516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.27 : 1,093.37 = 344.43 : x
  2. Step 2: Convert to fraction form
    729.27/1,093.37 = 344.43/x
  3. Step 3: Cross multiply
    729.27x = 1,093.37 × 344.43
  4. Step 4: Simplify right side
    729.27x = 376,587.71
  5. Step 5: Solve for x
    x = 376,587.71/729.27
  6. Step 6: Final answer
    x = 516.39

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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.