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Finding the Fourth Proportional to 286.31, 428.45 and 252.29

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Solution

The fourth proportional to 286.31, 428.45 and 252.29 is: 377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.31 : 428.45 = 252.29 : x
  2. Step 2: Convert to fraction form
    286.31/428.45 = 252.29/x
  3. Step 3: Cross multiply
    286.31x = 428.45 × 252.29
  4. Step 4: Simplify right side
    286.31x = 108,093.65
  5. Step 5: Solve for x
    x = 108,093.65/286.31
  6. Step 6: Final answer
    x = 377.54

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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.