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Finding the Fourth Proportional to 395.90, 546.37 and 238.56

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Solution

The fourth proportional to 395.90, 546.37 and 238.56 is: 329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.90 : 546.37 = 238.56 : x
  2. Step 2: Convert to fraction form
    395.90/546.37 = 238.56/x
  3. Step 3: Cross multiply
    395.90x = 546.37 × 238.56
  4. Step 4: Simplify right side
    395.90x = 130,342.03
  5. Step 5: Solve for x
    x = 130,342.03/395.90
  6. Step 6: Final answer
    x = 329.23

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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.