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Finding the Fourth Proportional to 283.97, 426.11 and 215.91

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Solution

The fourth proportional to 283.97, 426.11 and 215.91 is: 323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.97 : 426.11 = 215.91 : x
  2. Step 2: Convert to fraction form
    283.97/426.11 = 215.91/x
  3. Step 3: Cross multiply
    283.97x = 426.11 × 215.91
  4. Step 4: Simplify right side
    283.97x = 92,000.33
  5. Step 5: Solve for x
    x = 92,000.33/283.97
  6. Step 6: Final answer
    x = 323.98

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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.