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Finding the Fourth Proportional to 367.43, 550.76 and 264.66

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Solution

The fourth proportional to 367.43, 550.76 and 264.66 is: 396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.43 : 550.76 = 264.66 : x
  2. Step 2: Convert to fraction form
    367.43/550.76 = 264.66/x
  3. Step 3: Cross multiply
    367.43x = 550.76 × 264.66
  4. Step 4: Simplify right side
    367.43x = 145,764.14
  5. Step 5: Solve for x
    x = 145,764.14/367.43
  6. Step 6: Final answer
    x = 396.71

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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.