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Finding the Fourth Proportional to 862.71, 1,294.06 and 213.44

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Solution

The fourth proportional to 862.71, 1,294.06 and 213.44 is: 320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.71 : 1,294.06 = 213.44 : x
  2. Step 2: Convert to fraction form
    862.71/1,294.06 = 213.44/x
  3. Step 3: Cross multiply
    862.71x = 1,294.06 × 213.44
  4. Step 4: Simplify right side
    862.71x = 276,197.70
  5. Step 5: Solve for x
    x = 276,197.70/862.71
  6. Step 6: Final answer
    x = 320.15

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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.