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Finding the Fourth Proportional to 663.54, 994.68 and 316.70

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Solution

The fourth proportional to 663.54, 994.68 and 316.70 is: 474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.54 : 994.68 = 316.70 : x
  2. Step 2: Convert to fraction form
    663.54/994.68 = 316.70/x
  3. Step 3: Cross multiply
    663.54x = 994.68 × 316.70
  4. Step 4: Simplify right side
    663.54x = 315,015.16
  5. Step 5: Solve for x
    x = 315,015.16/663.54
  6. Step 6: Final answer
    x = 474.75

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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.