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Finding the Fourth Proportional to 396.34, 546.95 and 221.69

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Solution

The fourth proportional to 396.34, 546.95 and 221.69 is: 305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.34 : 546.95 = 221.69 : x
  2. Step 2: Convert to fraction form
    396.34/546.95 = 221.69/x
  3. Step 3: Cross multiply
    396.34x = 546.95 × 221.69
  4. Step 4: Simplify right side
    396.34x = 121,253.35
  5. Step 5: Solve for x
    x = 121,253.35/396.34
  6. Step 6: Final answer
    x = 305.93

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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.