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Finding the Fourth Proportional to 381.89, 573.13 and 251.85

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Solution

The fourth proportional to 381.89, 573.13 and 251.85 is: 377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.89 : 573.13 = 251.85 : x
  2. Step 2: Convert to fraction form
    381.89/573.13 = 251.85/x
  3. Step 3: Cross multiply
    381.89x = 573.13 × 251.85
  4. Step 4: Simplify right side
    381.89x = 144,342.79
  5. Step 5: Solve for x
    x = 144,342.79/381.89
  6. Step 6: Final answer
    x = 377.97

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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.