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Finding the Fourth Proportional to 406.97, 609.06 and 338.61

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Solution

The fourth proportional to 406.97, 609.06 and 338.61 is: 506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.97 : 609.06 = 338.61 : x
  2. Step 2: Convert to fraction form
    406.97/609.06 = 338.61/x
  3. Step 3: Cross multiply
    406.97x = 609.06 × 338.61
  4. Step 4: Simplify right side
    406.97x = 206,233.81
  5. Step 5: Solve for x
    x = 206,233.81/406.97
  6. Step 6: Final answer
    x = 506.75

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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.