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Finding the Fourth Proportional to 663.04, 994.72 and 321.12

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Solution

The fourth proportional to 663.04, 994.72 and 321.12 is: 481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.04 : 994.72 = 321.12 : x
  2. Step 2: Convert to fraction form
    663.04/994.72 = 321.12/x
  3. Step 3: Cross multiply
    663.04x = 994.72 × 321.12
  4. Step 4: Simplify right side
    663.04x = 319,424.49
  5. Step 5: Solve for x
    x = 319,424.49/663.04
  6. Step 6: Final answer
    x = 481.76

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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.