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Finding the Fourth Proportional to 283.38, 391.28 and 213.54

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Solution

The fourth proportional to 283.38, 391.28 and 213.54 is: 294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.38 : 391.28 = 213.54 : x
  2. Step 2: Convert to fraction form
    283.38/391.28 = 213.54/x
  3. Step 3: Cross multiply
    283.38x = 391.28 × 213.54
  4. Step 4: Simplify right side
    283.38x = 83,553.93
  5. Step 5: Solve for x
    x = 83,553.93/283.38
  6. Step 6: Final answer
    x = 294.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.