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Finding the Fourth Proportional to 396.75, 546.53 and 298.38

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Solution

The fourth proportional to 396.75, 546.53 and 298.38 is: 411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.75 : 546.53 = 298.38 : x
  2. Step 2: Convert to fraction form
    396.75/546.53 = 298.38/x
  3. Step 3: Cross multiply
    396.75x = 546.53 × 298.38
  4. Step 4: Simplify right side
    396.75x = 163,072.13
  5. Step 5: Solve for x
    x = 163,072.13/396.75
  6. Step 6: Final answer
    x = 411.02

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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.