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Finding the Fourth Proportional to 300.69, 414.21 and 217.56

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Solution

The fourth proportional to 300.69, 414.21 and 217.56 is: 299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.69 : 414.21 = 217.56 : x
  2. Step 2: Convert to fraction form
    300.69/414.21 = 217.56/x
  3. Step 3: Cross multiply
    300.69x = 414.21 × 217.56
  4. Step 4: Simplify right side
    300.69x = 90,115.53
  5. Step 5: Solve for x
    x = 90,115.53/300.69
  6. Step 6: Final answer
    x = 299.70

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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.