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Finding the Fourth Proportional to 381.15, 571.21 and 343.22

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Solution

The fourth proportional to 381.15, 571.21 and 343.22 is: 514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.15 : 571.21 = 343.22 : x
  2. Step 2: Convert to fraction form
    381.15/571.21 = 343.22/x
  3. Step 3: Cross multiply
    381.15x = 571.21 × 343.22
  4. Step 4: Simplify right side
    381.15x = 196,046.98
  5. Step 5: Solve for x
    x = 196,046.98/381.15
  6. Step 6: Final answer
    x = 514.36

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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.