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Finding the Fourth Proportional to 414.27, 621.44 and 219.20

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Solution

The fourth proportional to 414.27, 621.44 and 219.20 is: 328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.27 : 621.44 = 219.20 : x
  2. Step 2: Convert to fraction form
    414.27/621.44 = 219.20/x
  3. Step 3: Cross multiply
    414.27x = 621.44 × 219.20
  4. Step 4: Simplify right side
    414.27x = 136,215.44
  5. Step 5: Solve for x
    x = 136,215.44/414.27
  6. Step 6: Final answer
    x = 328.81

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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.