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Finding the Fourth Proportional to 300.81, 415.29 and 217.83

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Solution

The fourth proportional to 300.81, 415.29 and 217.83 is: 300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.81 : 415.29 = 217.83 : x
  2. Step 2: Convert to fraction form
    300.81/415.29 = 217.83/x
  3. Step 3: Cross multiply
    300.81x = 415.29 × 217.83
  4. Step 4: Simplify right side
    300.81x = 90,462.62
  5. Step 5: Solve for x
    x = 90,462.62/300.81
  6. Step 6: Final answer
    x = 300.73

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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.