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Finding the Fourth Proportional to 863.22, 1,294.81 and 213.95

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Solution

The fourth proportional to 863.22, 1,294.81 and 213.95 is: 320.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.22 : 1,294.81 = 213.95 : x
  2. Step 2: Convert to fraction form
    863.22/1,294.81 = 213.95/x
  3. Step 3: Cross multiply
    863.22x = 1,294.81 × 213.95
  4. Step 4: Simplify right side
    863.22x = 277,024.26
  5. Step 5: Solve for x
    x = 277,024.26/863.22
  6. Step 6: Final answer
    x = 320.92

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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.