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Finding the Fourth Proportional to 663.29, 994.68 and 252.32

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Solution

The fourth proportional to 663.29, 994.68 and 252.32 is: 378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.29 : 994.68 = 252.32 : x
  2. Step 2: Convert to fraction form
    663.29/994.68 = 252.32/x
  3. Step 3: Cross multiply
    663.29x = 994.68 × 252.32
  4. Step 4: Simplify right side
    663.29x = 250,972.68
  5. Step 5: Solve for x
    x = 250,972.68/663.29
  6. Step 6: Final answer
    x = 378.38

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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.