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Finding the Fourth Proportional to 733.39, 1,099.80 and 246.31

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Solution

The fourth proportional to 733.39, 1,099.80 and 246.31 is: 369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.39 : 1,099.80 = 246.31 : x
  2. Step 2: Convert to fraction form
    733.39/1,099.80 = 246.31/x
  3. Step 3: Cross multiply
    733.39x = 1,099.80 × 246.31
  4. Step 4: Simplify right side
    733.39x = 270,888.99
  5. Step 5: Solve for x
    x = 270,888.99/733.39
  6. Step 6: Final answer
    x = 369.37

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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.