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Finding the Fourth Proportional to 663.44, 994.94 and 252.26

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Solution

The fourth proportional to 663.44, 994.94 and 252.26 is: 378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.44 : 994.94 = 252.26 : x
  2. Step 2: Convert to fraction form
    663.44/994.94 = 252.26/x
  3. Step 3: Cross multiply
    663.44x = 994.94 × 252.26
  4. Step 4: Simplify right side
    663.44x = 250,983.56
  5. Step 5: Solve for x
    x = 250,983.56/663.44
  6. Step 6: Final answer
    x = 378.31

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Why These Related Problems?

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