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Finding the Fourth Proportional to 414.98, 622.46 and 219.93

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Solution

The fourth proportional to 414.98, 622.46 and 219.93 is: 329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.98 : 622.46 = 219.93 : x
  2. Step 2: Convert to fraction form
    414.98/622.46 = 219.93/x
  3. Step 3: Cross multiply
    414.98x = 622.46 × 219.93
  4. Step 4: Simplify right side
    414.98x = 136,896.53
  5. Step 5: Solve for x
    x = 136,896.53/414.98
  6. Step 6: Final answer
    x = 329.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.