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Finding the Fourth Proportional to 258.44, 387.35 and 231.10

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Solution

The fourth proportional to 258.44, 387.35 and 231.10 is: 346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.44 : 387.35 = 231.10 : x
  2. Step 2: Convert to fraction form
    258.44/387.35 = 231.10/x
  3. Step 3: Cross multiply
    258.44x = 387.35 × 231.10
  4. Step 4: Simplify right side
    258.44x = 89,515.33
  5. Step 5: Solve for x
    x = 89,515.33/258.44
  6. Step 6: Final answer
    x = 346.37

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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.