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Finding the Fourth Proportional to 396.85, 547.64 and 222.23

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Solution

The fourth proportional to 396.85, 547.64 and 222.23 is: 306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.85 : 547.64 = 222.23 : x
  2. Step 2: Convert to fraction form
    396.85/547.64 = 222.23/x
  3. Step 3: Cross multiply
    396.85x = 547.64 × 222.23
  4. Step 4: Simplify right side
    396.85x = 121,699.85
  5. Step 5: Solve for x
    x = 121,699.85/396.85
  6. Step 6: Final answer
    x = 306.67

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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.