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Finding the Fourth Proportional to 863.71, 1,296.09 and 343.62

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Solution

The fourth proportional to 863.71, 1,296.09 and 343.62 is: 515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.71 : 1,296.09 = 343.62 : x
  2. Step 2: Convert to fraction form
    863.71/1,296.09 = 343.62/x
  3. Step 3: Cross multiply
    863.71x = 1,296.09 × 343.62
  4. Step 4: Simplify right side
    863.71x = 445,362.45
  5. Step 5: Solve for x
    x = 445,362.45/863.71
  6. Step 6: Final answer
    x = 515.64

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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.