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Finding the Fourth Proportional to 396.21, 546.26 and 256.08

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Solution

The fourth proportional to 396.21, 546.26 and 256.08 is: 353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.21 : 546.26 = 256.08 : x
  2. Step 2: Convert to fraction form
    396.21/546.26 = 256.08/x
  3. Step 3: Cross multiply
    396.21x = 546.26 × 256.08
  4. Step 4: Simplify right side
    396.21x = 139,882.93
  5. Step 5: Solve for x
    x = 139,882.93/396.21
  6. Step 6: Final answer
    x = 353.06

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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.