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Finding the Fourth Proportional to 367.86, 550.75 and 294.36

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Solution

The fourth proportional to 367.86, 550.75 and 294.36 is: 440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.86 : 550.75 = 294.36 : x
  2. Step 2: Convert to fraction form
    367.86/550.75 = 294.36/x
  3. Step 3: Cross multiply
    367.86x = 550.75 × 294.36
  4. Step 4: Simplify right side
    367.86x = 162,118.77
  5. Step 5: Solve for x
    x = 162,118.77/367.86
  6. Step 6: Final answer
    x = 440.71

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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.