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Finding the Fourth Proportional to 863.00, 1,294.48 and 213.74

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Solution

The fourth proportional to 863.00, 1,294.48 and 213.74 is: 320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.00 : 1,294.48 = 213.74 : x
  2. Step 2: Convert to fraction form
    863.00/1,294.48 = 213.74/x
  3. Step 3: Cross multiply
    863.00x = 1,294.48 × 213.74
  4. Step 4: Simplify right side
    863.00x = 276,675.68
  5. Step 5: Solve for x
    x = 276,675.68/863.00
  6. Step 6: Final answer
    x = 320.60

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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.