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Finding the Fourth Proportional to 414.96, 622.64 and 183.82

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Solution

The fourth proportional to 414.96, 622.64 and 183.82 is: 275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 622.64 = 183.82 : x
  2. Step 2: Convert to fraction form
    414.96/622.64 = 183.82/x
  3. Step 3: Cross multiply
    414.96x = 622.64 × 183.82
  4. Step 4: Simplify right side
    414.96x = 114,453.68
  5. Step 5: Solve for x
    x = 114,453.68/414.96
  6. Step 6: Final answer
    x = 275.82

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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.