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Finding the Fourth Proportional to 663.40, 994.32 and 316.80

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Solution

The fourth proportional to 663.40, 994.32 and 316.80 is: 474.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.40 : 994.32 = 316.80 : x
  2. Step 2: Convert to fraction form
    663.40/994.32 = 316.80/x
  3. Step 3: Cross multiply
    663.40x = 994.32 × 316.80
  4. Step 4: Simplify right side
    663.40x = 315,000.58
  5. Step 5: Solve for x
    x = 315,000.58/663.40
  6. Step 6: Final answer
    x = 474.83

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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.