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Finding the Fourth Proportional to 395.94, 546.36 and 238.62

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Solution

The fourth proportional to 395.94, 546.36 and 238.62 is: 329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.94 : 546.36 = 238.62 : x
  2. Step 2: Convert to fraction form
    395.94/546.36 = 238.62/x
  3. Step 3: Cross multiply
    395.94x = 546.36 × 238.62
  4. Step 4: Simplify right side
    395.94x = 130,372.42
  5. Step 5: Solve for x
    x = 130,372.42/395.94
  6. Step 6: Final answer
    x = 329.27

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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.