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Finding the Fourth Proportional to 663.12, 994.62 and 298.20

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Solution

The fourth proportional to 663.12, 994.62 and 298.20 is: 447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.12 : 994.62 = 298.20 : x
  2. Step 2: Convert to fraction form
    663.12/994.62 = 298.20/x
  3. Step 3: Cross multiply
    663.12x = 994.62 × 298.20
  4. Step 4: Simplify right side
    663.12x = 296,595.68
  5. Step 5: Solve for x
    x = 296,595.68/663.12
  6. Step 6: Final answer
    x = 447.27

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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.