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Finding the Fourth Proportional to 480.91, 721.71 and 298.43

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Solution

The fourth proportional to 480.91, 721.71 and 298.43 is: 447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.91 : 721.71 = 298.43 : x
  2. Step 2: Convert to fraction form
    480.91/721.71 = 298.43/x
  3. Step 3: Cross multiply
    480.91x = 721.71 × 298.43
  4. Step 4: Simplify right side
    480.91x = 215,383.07
  5. Step 5: Solve for x
    x = 215,383.07/480.91
  6. Step 6: Final answer
    x = 447.86

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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.