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Finding the Fourth Proportional to 379.43, 523.82 and 262.79

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Solution

The fourth proportional to 379.43, 523.82 and 262.79 is: 362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.43 : 523.82 = 262.79 : x
  2. Step 2: Convert to fraction form
    379.43/523.82 = 262.79/x
  3. Step 3: Cross multiply
    379.43x = 523.82 × 262.79
  4. Step 4: Simplify right side
    379.43x = 137,654.65
  5. Step 5: Solve for x
    x = 137,654.65/379.43
  6. Step 6: Final answer
    x = 362.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.