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Finding the Fourth Proportional to 367.76, 550.60 and 281.43

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Solution

The fourth proportional to 367.76, 550.60 and 281.43 is: 421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.76 : 550.60 = 281.43 : x
  2. Step 2: Convert to fraction form
    367.76/550.60 = 281.43/x
  3. Step 3: Cross multiply
    367.76x = 550.60 × 281.43
  4. Step 4: Simplify right side
    367.76x = 154,954.65
  5. Step 5: Solve for x
    x = 154,954.65/367.76
  6. Step 6: Final answer
    x = 421.34

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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.