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Finding the Fourth Proportional to 396.87, 546.32 and 341.28

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Solution

The fourth proportional to 396.87, 546.32 and 341.28 is: 469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.87 : 546.32 = 341.28 : x
  2. Step 2: Convert to fraction form
    396.87/546.32 = 341.28/x
  3. Step 3: Cross multiply
    396.87x = 546.32 × 341.28
  4. Step 4: Simplify right side
    396.87x = 186,448.94
  5. Step 5: Solve for x
    x = 186,448.94/396.87
  6. Step 6: Final answer
    x = 469.80

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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.