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Finding the Fourth Proportional to 396.87, 546.30 and 345.03

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Solution

The fourth proportional to 396.87, 546.30 and 345.03 is: 474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.87 : 546.30 = 345.03 : x
  2. Step 2: Convert to fraction form
    396.87/546.30 = 345.03/x
  3. Step 3: Cross multiply
    396.87x = 546.30 × 345.03
  4. Step 4: Simplify right side
    396.87x = 188,489.89
  5. Step 5: Solve for x
    x = 188,489.89/396.87
  6. Step 6: Final answer
    x = 474.94

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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.