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Finding the Fourth Proportional to 396.90, 546.75 and 286.07

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Solution

The fourth proportional to 396.90, 546.75 and 286.07 is: 394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.90 : 546.75 = 286.07 : x
  2. Step 2: Convert to fraction form
    396.90/546.75 = 286.07/x
  3. Step 3: Cross multiply
    396.90x = 546.75 × 286.07
  4. Step 4: Simplify right side
    396.90x = 156,406.04
  5. Step 5: Solve for x
    x = 156,406.04/396.90
  6. Step 6: Final answer
    x = 394.07

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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.