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Finding the Fourth Proportional to 396.72, 546.66 and 309.24

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Solution

The fourth proportional to 396.72, 546.66 and 309.24 is: 426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.72 : 546.66 = 309.24 : x
  2. Step 2: Convert to fraction form
    396.72/546.66 = 309.24/x
  3. Step 3: Cross multiply
    396.72x = 546.66 × 309.24
  4. Step 4: Simplify right side
    396.72x = 169,049.14
  5. Step 5: Solve for x
    x = 169,049.14/396.72
  6. Step 6: Final answer
    x = 426.12

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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.