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Finding the Fourth Proportional to 733.29, 1,100.16 and 300.48

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Solution

The fourth proportional to 733.29, 1,100.16 and 300.48 is: 450.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.29 : 1,100.16 = 300.48 : x
  2. Step 2: Convert to fraction form
    733.29/1,100.16 = 300.48/x
  3. Step 3: Cross multiply
    733.29x = 1,100.16 × 300.48
  4. Step 4: Simplify right side
    733.29x = 330,576.08
  5. Step 5: Solve for x
    x = 330,576.08/733.29
  6. Step 6: Final answer
    x = 450.81

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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.