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Finding the Fourth Proportional to 396.81, 547.48 and 256.93

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Solution

The fourth proportional to 396.81, 547.48 and 256.93 is: 354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.81 : 547.48 = 256.93 : x
  2. Step 2: Convert to fraction form
    396.81/547.48 = 256.93/x
  3. Step 3: Cross multiply
    396.81x = 547.48 × 256.93
  4. Step 4: Simplify right side
    396.81x = 140,664.04
  5. Step 5: Solve for x
    x = 140,664.04/396.81
  6. Step 6: Final answer
    x = 354.49

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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.