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Finding the Fourth Proportional to 396.23, 546.81 and 221.57

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Solution

The fourth proportional to 396.23, 546.81 and 221.57 is: 305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.23 : 546.81 = 221.57 : x
  2. Step 2: Convert to fraction form
    396.23/546.81 = 221.57/x
  3. Step 3: Cross multiply
    396.23x = 546.81 × 221.57
  4. Step 4: Simplify right side
    396.23x = 121,156.69
  5. Step 5: Solve for x
    x = 121,156.69/396.23
  6. Step 6: Final answer
    x = 305.77

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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.