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Finding the Fourth Proportional to 396.53, 547.35 and 298.57

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Solution

The fourth proportional to 396.53, 547.35 and 298.57 is: 412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.53 : 547.35 = 298.57 : x
  2. Step 2: Convert to fraction form
    396.53/547.35 = 298.57/x
  3. Step 3: Cross multiply
    396.53x = 547.35 × 298.57
  4. Step 4: Simplify right side
    396.53x = 163,422.04
  5. Step 5: Solve for x
    x = 163,422.04/396.53
  6. Step 6: Final answer
    x = 412.13

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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.