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Finding the Fourth Proportional to 396, 546.50 and 221.34

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Solution

The fourth proportional to 396, 546.50 and 221.34 is: 305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 546.50 = 221.34 : x
  2. Step 2: Convert to fraction form
    396/546.50 = 221.34/x
  3. Step 3: Cross multiply
    396x = 546.50 × 221.34
  4. Step 4: Simplify right side
    396x = 120,962.31
  5. Step 5: Solve for x
    x = 120,962.31/396
  6. Step 6: Final answer
    x = 305.46

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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.