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Finding the Fourth Proportional to 395.78, 546.09 and 229.97

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Solution

The fourth proportional to 395.78, 546.09 and 229.97 is: 317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 546.09 = 229.97 : x
  2. Step 2: Convert to fraction form
    395.78/546.09 = 229.97/x
  3. Step 3: Cross multiply
    395.78x = 546.09 × 229.97
  4. Step 4: Simplify right side
    395.78x = 125,584.32
  5. Step 5: Solve for x
    x = 125,584.32/395.78
  6. Step 6: Final answer
    x = 317.31

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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.