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Finding the Fourth Proportional to 396.01, 546.53 and 219.02

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Solution

The fourth proportional to 396.01, 546.53 and 219.02 is: 302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.01 : 546.53 = 219.02 : x
  2. Step 2: Convert to fraction form
    396.01/546.53 = 219.02/x
  3. Step 3: Cross multiply
    396.01x = 546.53 × 219.02
  4. Step 4: Simplify right side
    396.01x = 119,702.40
  5. Step 5: Solve for x
    x = 119,702.40/396.01
  6. Step 6: Final answer
    x = 302.27

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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.