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Finding the Fourth Proportional to 306.06, 422.43 and 239.54

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Solution

The fourth proportional to 306.06, 422.43 and 239.54 is: 330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.06 : 422.43 = 239.54 : x
  2. Step 2: Convert to fraction form
    306.06/422.43 = 239.54/x
  3. Step 3: Cross multiply
    306.06x = 422.43 × 239.54
  4. Step 4: Simplify right side
    306.06x = 101,187.00
  5. Step 5: Solve for x
    x = 101,187.00/306.06
  6. Step 6: Final answer
    x = 330.61

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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.