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Finding the Fourth Proportional to 834.71, 1,252.02 and 218.41

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Solution

The fourth proportional to 834.71, 1,252.02 and 218.41 is: 327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.71 : 1,252.02 = 218.41 : x
  2. Step 2: Convert to fraction form
    834.71/1,252.02 = 218.41/x
  3. Step 3: Cross multiply
    834.71x = 1,252.02 × 218.41
  4. Step 4: Simplify right side
    834.71x = 273,450.56
  5. Step 5: Solve for x
    x = 273,450.56/834.71
  6. Step 6: Final answer
    x = 327.60

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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.