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Finding the Fourth Proportional to 396.84, 595.52 and 299.41

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Solution

The fourth proportional to 396.84, 595.52 and 299.41 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 595.52 = 299.41 : x
  2. Step 2: Convert to fraction form
    396.84/595.52 = 299.41/x
  3. Step 3: Cross multiply
    396.84x = 595.52 × 299.41
  4. Step 4: Simplify right side
    396.84x = 178,300.17
  5. Step 5: Solve for x
    x = 178,300.17/396.84
  6. Step 6: Final answer
    x = 449.31

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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.