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Finding the Fourth Proportional to 381.50, 571.33 and 301.31

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Solution

The fourth proportional to 381.50, 571.33 and 301.31 is: 451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.50 : 571.33 = 301.31 : x
  2. Step 2: Convert to fraction form
    381.50/571.33 = 301.31/x
  3. Step 3: Cross multiply
    381.50x = 571.33 × 301.31
  4. Step 4: Simplify right side
    381.50x = 172,147.44
  5. Step 5: Solve for x
    x = 172,147.44/381.50
  6. Step 6: Final answer
    x = 451.24

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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.