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Finding the Fourth Proportional to 396.58, 547.18 and 303.42

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Solution

The fourth proportional to 396.58, 547.18 and 303.42 is: 418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.58 : 547.18 = 303.42 : x
  2. Step 2: Convert to fraction form
    396.58/547.18 = 303.42/x
  3. Step 3: Cross multiply
    396.58x = 547.18 × 303.42
  4. Step 4: Simplify right side
    396.58x = 166,025.36
  5. Step 5: Solve for x
    x = 166,025.36/396.58
  6. Step 6: Final answer
    x = 418.64

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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.