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Finding the Fourth Proportional to 367.72, 550.96 and 302.92

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Solution

The fourth proportional to 367.72, 550.96 and 302.92 is: 453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.72 : 550.96 = 302.92 : x
  2. Step 2: Convert to fraction form
    367.72/550.96 = 302.92/x
  3. Step 3: Cross multiply
    367.72x = 550.96 × 302.92
  4. Step 4: Simplify right side
    367.72x = 166,896.80
  5. Step 5: Solve for x
    x = 166,896.80/367.72
  6. Step 6: Final answer
    x = 453.87

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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.