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Finding the Fourth Proportional to 396.16, 546.56 and 257.92

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Solution

The fourth proportional to 396.16, 546.56 and 257.92 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 546.56 = 257.92 : x
  2. Step 2: Convert to fraction form
    396.16/546.56 = 257.92/x
  3. Step 3: Cross multiply
    396.16x = 546.56 × 257.92
  4. Step 4: Simplify right side
    396.16x = 140,968.76
  5. Step 5: Solve for x
    x = 140,968.76/396.16
  6. Step 6: Final answer
    x = 355.84

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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.