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Finding the Fourth Proportional to 414.21, 621.59 and 154.19

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Solution

The fourth proportional to 414.21, 621.59 and 154.19 is: 231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.21 : 621.59 = 154.19 : x
  2. Step 2: Convert to fraction form
    414.21/621.59 = 154.19/x
  3. Step 3: Cross multiply
    414.21x = 621.59 × 154.19
  4. Step 4: Simplify right side
    414.21x = 95,839.08
  5. Step 5: Solve for x
    x = 95,839.08/414.21
  6. Step 6: Final answer
    x = 231.38

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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.