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Finding the Fourth Proportional to 367.86, 550.38 and 275.13

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Solution

The fourth proportional to 367.86, 550.38 and 275.13 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.86 : 550.38 = 275.13 : x
  2. Step 2: Convert to fraction form
    367.86/550.38 = 275.13/x
  3. Step 3: Cross multiply
    367.86x = 550.38 × 275.13
  4. Step 4: Simplify right side
    367.86x = 151,426.05
  5. Step 5: Solve for x
    x = 151,426.05/367.86
  6. Step 6: Final answer
    x = 411.64

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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.