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Finding the Fourth Proportional to 663.43, 994.74 and 316.87

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Solution

The fourth proportional to 663.43, 994.74 and 316.87 is: 475.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.43 : 994.74 = 316.87 : x
  2. Step 2: Convert to fraction form
    663.43/994.74 = 316.87/x
  3. Step 3: Cross multiply
    663.43x = 994.74 × 316.87
  4. Step 4: Simplify right side
    663.43x = 315,203.26
  5. Step 5: Solve for x
    x = 315,203.26/663.43
  6. Step 6: Final answer
    x = 475.11

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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.