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Finding the Fourth Proportional to 662.96, 994.41 and 252.07

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Solution

The fourth proportional to 662.96, 994.41 and 252.07 is: 378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.96 : 994.41 = 252.07 : x
  2. Step 2: Convert to fraction form
    662.96/994.41 = 252.07/x
  3. Step 3: Cross multiply
    662.96x = 994.41 × 252.07
  4. Step 4: Simplify right side
    662.96x = 250,658.44
  5. Step 5: Solve for x
    x = 250,658.44/662.96
  6. Step 6: Final answer
    x = 378.09

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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.