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Finding the Fourth Proportional to 481.11, 663.82 and 294.64

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Solution

The fourth proportional to 481.11, 663.82 and 294.64 is: 406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.11 : 663.82 = 294.64 : x
  2. Step 2: Convert to fraction form
    481.11/663.82 = 294.64/x
  3. Step 3: Cross multiply
    481.11x = 663.82 × 294.64
  4. Step 4: Simplify right side
    481.11x = 195,587.92
  5. Step 5: Solve for x
    x = 195,587.92/481.11
  6. Step 6: Final answer
    x = 406.53

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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.