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Finding the Fourth Proportional to 396.85, 546.59 and 364.04

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Solution

The fourth proportional to 396.85, 546.59 and 364.04 is: 501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.85 : 546.59 = 364.04 : x
  2. Step 2: Convert to fraction form
    396.85/546.59 = 364.04/x
  3. Step 3: Cross multiply
    396.85x = 546.59 × 364.04
  4. Step 4: Simplify right side
    396.85x = 198,980.62
  5. Step 5: Solve for x
    x = 198,980.62/396.85
  6. Step 6: Final answer
    x = 501.40

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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.