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Finding the Fourth Proportional to 396.63, 547.56 and 298.62

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Solution

The fourth proportional to 396.63, 547.56 and 298.62 is: 412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 547.56 = 298.62 : x
  2. Step 2: Convert to fraction form
    396.63/547.56 = 298.62/x
  3. Step 3: Cross multiply
    396.63x = 547.56 × 298.62
  4. Step 4: Simplify right side
    396.63x = 163,512.37
  5. Step 5: Solve for x
    x = 163,512.37/396.63
  6. Step 6: Final answer
    x = 412.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.