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Finding the Fourth Proportional to 396.23, 546.78 and 230.44

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Solution

The fourth proportional to 396.23, 546.78 and 230.44 is: 318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.23 : 546.78 = 230.44 : x
  2. Step 2: Convert to fraction form
    396.23/546.78 = 230.44/x
  3. Step 3: Cross multiply
    396.23x = 546.78 × 230.44
  4. Step 4: Simplify right side
    396.23x = 125,999.98
  5. Step 5: Solve for x
    x = 125,999.98/396.23
  6. Step 6: Final answer
    x = 318.00

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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.