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Finding the Fourth Proportional to 396.16, 546.57 and 256.32

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Solution

The fourth proportional to 396.16, 546.57 and 256.32 is: 353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.16 : 546.57 = 256.32 : x
  2. Step 2: Convert to fraction form
    396.16/546.57 = 256.32/x
  3. Step 3: Cross multiply
    396.16x = 546.57 × 256.32
  4. Step 4: Simplify right side
    396.16x = 140,096.82
  5. Step 5: Solve for x
    x = 140,096.82/396.16
  6. Step 6: Final answer
    x = 353.64

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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.