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Finding the Fourth Proportional to 367.82, 550.20 and 302.09

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Solution

The fourth proportional to 367.82, 550.20 and 302.09 is: 451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 550.20 = 302.09 : x
  2. Step 2: Convert to fraction form
    367.82/550.20 = 302.09/x
  3. Step 3: Cross multiply
    367.82x = 550.20 × 302.09
  4. Step 4: Simplify right side
    367.82x = 166,207.17
  5. Step 5: Solve for x
    x = 166,207.17/367.82
  6. Step 6: Final answer
    x = 451.88

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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.