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Finding the Fourth Proportional to 663.12, 994.75 and 316.62

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Solution

The fourth proportional to 663.12, 994.75 and 316.62 is: 474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.12 : 994.75 = 316.62 : x
  2. Step 2: Convert to fraction form
    663.12/994.75 = 316.62/x
  3. Step 3: Cross multiply
    663.12x = 994.75 × 316.62
  4. Step 4: Simplify right side
    663.12x = 314,956.95
  5. Step 5: Solve for x
    x = 314,956.95/663.12
  6. Step 6: Final answer
    x = 474.96

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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.