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Finding the Fourth Proportional to 414.05, 621.30 and 182.97

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Solution

The fourth proportional to 414.05, 621.30 and 182.97 is: 274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.05 : 621.30 = 182.97 : x
  2. Step 2: Convert to fraction form
    414.05/621.30 = 182.97/x
  3. Step 3: Cross multiply
    414.05x = 621.30 × 182.97
  4. Step 4: Simplify right side
    414.05x = 113,679.95
  5. Step 5: Solve for x
    x = 113,679.95/414.05
  6. Step 6: Final answer
    x = 274.56

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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.