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Finding the Fourth Proportional to 396.51, 593.62 and 299.41

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Solution

The fourth proportional to 396.51, 593.62 and 299.41 is: 448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.51 : 593.62 = 299.41 : x
  2. Step 2: Convert to fraction form
    396.51/593.62 = 299.41/x
  3. Step 3: Cross multiply
    396.51x = 593.62 × 299.41
  4. Step 4: Simplify right side
    396.51x = 177,735.76
  5. Step 5: Solve for x
    x = 177,735.76/396.51
  6. Step 6: Final answer
    x = 448.25

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