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Finding the Fourth Proportional to 396.66, 594.99 and 327.54

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Solution

The fourth proportional to 396.66, 594.99 and 327.54 is: 491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.66 : 594.99 = 327.54 : x
  2. Step 2: Convert to fraction form
    396.66/594.99 = 327.54/x
  3. Step 3: Cross multiply
    396.66x = 594.99 × 327.54
  4. Step 4: Simplify right side
    396.66x = 194,883.02
  5. Step 5: Solve for x
    x = 194,883.02/396.66
  6. Step 6: Final answer
    x = 491.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.