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Finding the Fourth Proportional to 379.86, 523.90 and 230.48

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Solution

The fourth proportional to 379.86, 523.90 and 230.48 is: 317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.86 : 523.90 = 230.48 : x
  2. Step 2: Convert to fraction form
    379.86/523.90 = 230.48/x
  3. Step 3: Cross multiply
    379.86x = 523.90 × 230.48
  4. Step 4: Simplify right side
    379.86x = 120,748.47
  5. Step 5: Solve for x
    x = 120,748.47/379.86
  6. Step 6: Final answer
    x = 317.88

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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.