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Finding the Fourth Proportional to 379.08, 523.14 and 231.80

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Solution

The fourth proportional to 379.08, 523.14 and 231.80 is: 319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.08 : 523.14 = 231.80 : x
  2. Step 2: Convert to fraction form
    379.08/523.14 = 231.80/x
  3. Step 3: Cross multiply
    379.08x = 523.14 × 231.80
  4. Step 4: Simplify right side
    379.08x = 121,261.24
  5. Step 5: Solve for x
    x = 121,261.24/379.08
  6. Step 6: Final answer
    x = 319.88

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