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Finding the Fourth Proportional to 414.05, 621.31 and 154.23

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Solution

The fourth proportional to 414.05, 621.31 and 154.23 is: 231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.05 : 621.31 = 154.23 : x
  2. Step 2: Convert to fraction form
    414.05/621.31 = 154.23/x
  3. Step 3: Cross multiply
    414.05x = 621.31 × 154.23
  4. Step 4: Simplify right side
    414.05x = 95,824.64
  5. Step 5: Solve for x
    x = 95,824.64/414.05
  6. Step 6: Final answer
    x = 231.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.