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Finding the Fourth Proportional to 300.59, 414.37 and 213.11

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Solution

The fourth proportional to 300.59, 414.37 and 213.11 is: 293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.59 : 414.37 = 213.11 : x
  2. Step 2: Convert to fraction form
    300.59/414.37 = 213.11/x
  3. Step 3: Cross multiply
    300.59x = 414.37 × 213.11
  4. Step 4: Simplify right side
    300.59x = 88,306.39
  5. Step 5: Solve for x
    x = 88,306.39/300.59
  6. Step 6: Final answer
    x = 293.78

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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.