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Finding the Fourth Proportional to 481.49, 721.10 and 298.33

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Solution

The fourth proportional to 481.49, 721.10 and 298.33 is: 446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.49 : 721.10 = 298.33 : x
  2. Step 2: Convert to fraction form
    481.49/721.10 = 298.33/x
  3. Step 3: Cross multiply
    481.49x = 721.10 × 298.33
  4. Step 4: Simplify right side
    481.49x = 215,128.76
  5. Step 5: Solve for x
    x = 215,128.76/481.49
  6. Step 6: Final answer
    x = 446.79

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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.