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Finding the Fourth Proportional to 414.04, 620.64 and 182.68

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Solution

The fourth proportional to 414.04, 620.64 and 182.68 is: 273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.04 : 620.64 = 182.68 : x
  2. Step 2: Convert to fraction form
    414.04/620.64 = 182.68/x
  3. Step 3: Cross multiply
    414.04x = 620.64 × 182.68
  4. Step 4: Simplify right side
    414.04x = 113,378.52
  5. Step 5: Solve for x
    x = 113,378.52/414.04
  6. Step 6: Final answer
    x = 273.83

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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.