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Finding the Fourth Proportional to 663.88, 996.18 and 443.97

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Solution

The fourth proportional to 663.88, 996.18 and 443.97 is: 666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.88 : 996.18 = 443.97 : x
  2. Step 2: Convert to fraction form
    663.88/996.18 = 443.97/x
  3. Step 3: Cross multiply
    663.88x = 996.18 × 443.97
  4. Step 4: Simplify right side
    663.88x = 442,274.03
  5. Step 5: Solve for x
    x = 442,274.03/663.88
  6. Step 6: Final answer
    x = 666.20

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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.