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Finding the Fourth Proportional to 414.83, 622.67 and 241.82

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Solution

The fourth proportional to 414.83, 622.67 and 241.82 is: 362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.83 : 622.67 = 241.82 : x
  2. Step 2: Convert to fraction form
    414.83/622.67 = 241.82/x
  3. Step 3: Cross multiply
    414.83x = 622.67 × 241.82
  4. Step 4: Simplify right side
    414.83x = 150,569.74
  5. Step 5: Solve for x
    x = 150,569.74/414.83
  6. Step 6: Final answer
    x = 362.97

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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.