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Finding the Fourth Proportional to 396.74, 547.53 and 222.14

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Solution

The fourth proportional to 396.74, 547.53 and 222.14 is: 306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.74 : 547.53 = 222.14 : x
  2. Step 2: Convert to fraction form
    396.74/547.53 = 222.14/x
  3. Step 3: Cross multiply
    396.74x = 547.53 × 222.14
  4. Step 4: Simplify right side
    396.74x = 121,628.31
  5. Step 5: Solve for x
    x = 121,628.31/396.74
  6. Step 6: Final answer
    x = 306.57

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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.