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Finding the Fourth Proportional to 396.02, 546.96 and 298.22

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Solution

The fourth proportional to 396.02, 546.96 and 298.22 is: 411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.02 : 546.96 = 298.22 : x
  2. Step 2: Convert to fraction form
    396.02/546.96 = 298.22/x
  3. Step 3: Cross multiply
    396.02x = 546.96 × 298.22
  4. Step 4: Simplify right side
    396.02x = 163,114.41
  5. Step 5: Solve for x
    x = 163,114.41/396.02
  6. Step 6: Final answer
    x = 411.88

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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.