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Finding the Fourth Proportional to 737.35, 1,105.81 and 217.46

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Solution

The fourth proportional to 737.35, 1,105.81 and 217.46 is: 326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.35 : 1,105.81 = 217.46 : x
  2. Step 2: Convert to fraction form
    737.35/1,105.81 = 217.46/x
  3. Step 3: Cross multiply
    737.35x = 1,105.81 × 217.46
  4. Step 4: Simplify right side
    737.35x = 240,469.44
  5. Step 5: Solve for x
    x = 240,469.44/737.35
  6. Step 6: Final answer
    x = 326.13

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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.