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Finding the Fourth Proportional to 414.09, 571.43 and 246.06

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Solution

The fourth proportional to 414.09, 571.43 and 246.06 is: 339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 571.43 = 246.06 : x
  2. Step 2: Convert to fraction form
    414.09/571.43 = 246.06/x
  3. Step 3: Cross multiply
    414.09x = 571.43 × 246.06
  4. Step 4: Simplify right side
    414.09x = 140,604.84
  5. Step 5: Solve for x
    x = 140,604.84/414.09
  6. Step 6: Final answer
    x = 339.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.