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Finding the Fourth Proportional to 396.01, 546.36 and 238.58

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Solution

The fourth proportional to 396.01, 546.36 and 238.58 is: 329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.01 : 546.36 = 238.58 : x
  2. Step 2: Convert to fraction form
    396.01/546.36 = 238.58/x
  3. Step 3: Cross multiply
    396.01x = 546.36 × 238.58
  4. Step 4: Simplify right side
    396.01x = 130,350.14
  5. Step 5: Solve for x
    x = 130,350.14/396.01
  6. Step 6: Final answer
    x = 329.16

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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.