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Finding the Fourth Proportional to 396.83, 546.03 and 364.43

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Solution

The fourth proportional to 396.83, 546.03 and 364.43 is: 501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.83 : 546.03 = 364.43 : x
  2. Step 2: Convert to fraction form
    396.83/546.03 = 364.43/x
  3. Step 3: Cross multiply
    396.83x = 546.03 × 364.43
  4. Step 4: Simplify right side
    396.83x = 198,991.08
  5. Step 5: Solve for x
    x = 198,991.08/396.83
  6. Step 6: Final answer
    x = 501.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.