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Finding the Fourth Proportional to 863.06, 1,294.57 and 213.80

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Solution

The fourth proportional to 863.06, 1,294.57 and 213.80 is: 320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.06 : 1,294.57 = 213.80 : x
  2. Step 2: Convert to fraction form
    863.06/1,294.57 = 213.80/x
  3. Step 3: Cross multiply
    863.06x = 1,294.57 × 213.80
  4. Step 4: Simplify right side
    863.06x = 276,771.52
  5. Step 5: Solve for x
    x = 276,771.52/863.06
  6. Step 6: Final answer
    x = 320.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.