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Finding the Fourth Proportional to 396, 546.35 and 238.64

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Solution

The fourth proportional to 396, 546.35 and 238.64 is: 329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 546.35 = 238.64 : x
  2. Step 2: Convert to fraction form
    396/546.35 = 238.64/x
  3. Step 3: Cross multiply
    396x = 546.35 × 238.64
  4. Step 4: Simplify right side
    396x = 130,377.04
  5. Step 5: Solve for x
    x = 130,377.04/396
  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.