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Finding the Fourth Proportional to 414.99, 622.12 and 243.63

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Solution

The fourth proportional to 414.99, 622.12 and 243.63 is: 365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.99 : 622.12 = 243.63 : x
  2. Step 2: Convert to fraction form
    414.99/622.12 = 243.63/x
  3. Step 3: Cross multiply
    414.99x = 622.12 × 243.63
  4. Step 4: Simplify right side
    414.99x = 151,563.38
  5. Step 5: Solve for x
    x = 151,563.38/414.99
  6. Step 6: Final answer
    x = 365.23

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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.