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Finding the Fourth Proportional to 367.87, 552.19 and 270.48

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Solution

The fourth proportional to 367.87, 552.19 and 270.48 is: 406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.87 : 552.19 = 270.48 : x
  2. Step 2: Convert to fraction form
    367.87/552.19 = 270.48/x
  3. Step 3: Cross multiply
    367.87x = 552.19 × 270.48
  4. Step 4: Simplify right side
    367.87x = 149,359.01
  5. Step 5: Solve for x
    x = 149,359.01/367.87
  6. Step 6: Final answer
    x = 406.01

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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.