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Finding the Fourth Proportional to 481.02, 663.66 and 306.33

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Solution

The fourth proportional to 481.02, 663.66 and 306.33 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.02 : 663.66 = 306.33 : x
  2. Step 2: Convert to fraction form
    481.02/663.66 = 306.33/x
  3. Step 3: Cross multiply
    481.02x = 663.66 × 306.33
  4. Step 4: Simplify right side
    481.02x = 203,298.97
  5. Step 5: Solve for x
    x = 203,298.97/481.02
  6. Step 6: Final answer
    x = 422.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.