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Finding the Fourth Proportional to 414.20, 621.38 and 205.99

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Solution

The fourth proportional to 414.20, 621.38 and 205.99 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.20 : 621.38 = 205.99 : x
  2. Step 2: Convert to fraction form
    414.20/621.38 = 205.99/x
  3. Step 3: Cross multiply
    414.20x = 621.38 × 205.99
  4. Step 4: Simplify right side
    414.20x = 127,997.03
  5. Step 5: Solve for x
    x = 127,997.03/414.20
  6. Step 6: Final answer
    x = 309.02

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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.