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Finding the Fourth Proportional to 393.96, 589.26 and 231.24

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Solution

The fourth proportional to 393.96, 589.26 and 231.24 is: 345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.96 : 589.26 = 231.24 : x
  2. Step 2: Convert to fraction form
    393.96/589.26 = 231.24/x
  3. Step 3: Cross multiply
    393.96x = 589.26 × 231.24
  4. Step 4: Simplify right side
    393.96x = 136,260.48
  5. Step 5: Solve for x
    x = 136,260.48/393.96
  6. Step 6: Final answer
    x = 345.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.