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Finding the Fourth Proportional to 414.56, 621.41 and 154.32

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Solution

The fourth proportional to 414.56, 621.41 and 154.32 is: 231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 621.41 = 154.32 : x
  2. Step 2: Convert to fraction form
    414.56/621.41 = 154.32/x
  3. Step 3: Cross multiply
    414.56x = 621.41 × 154.32
  4. Step 4: Simplify right side
    414.56x = 95,895.22
  5. Step 5: Solve for x
    x = 95,895.22/414.56
  6. Step 6: Final answer
    x = 231.32

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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.