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Finding the Fourth Proportional to 414.98, 622.49 and 154.99

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Solution

The fourth proportional to 414.98, 622.49 and 154.99 is: 232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.98 : 622.49 = 154.99 : x
  2. Step 2: Convert to fraction form
    414.98/622.49 = 154.99/x
  3. Step 3: Cross multiply
    414.98x = 622.49 × 154.99
  4. Step 4: Simplify right side
    414.98x = 96,476.23
  5. Step 5: Solve for x
    x = 96,476.23/414.98
  6. Step 6: Final answer
    x = 232.48

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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.