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Finding the Fourth Proportional to 379.27, 523.37 and 211.22

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Solution

The fourth proportional to 379.27, 523.37 and 211.22 is: 291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.27 : 523.37 = 211.22 : x
  2. Step 2: Convert to fraction form
    379.27/523.37 = 211.22/x
  3. Step 3: Cross multiply
    379.27x = 523.37 × 211.22
  4. Step 4: Simplify right side
    379.27x = 110,546.21
  5. Step 5: Solve for x
    x = 110,546.21/379.27
  6. Step 6: Final answer
    x = 291.47

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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.