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Finding the Fourth Proportional to 396.58, 595.14 and 299.16

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Solution

The fourth proportional to 396.58, 595.14 and 299.16 is: 448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.58 : 595.14 = 299.16 : x
  2. Step 2: Convert to fraction form
    396.58/595.14 = 299.16/x
  3. Step 3: Cross multiply
    396.58x = 595.14 × 299.16
  4. Step 4: Simplify right side
    396.58x = 178,042.08
  5. Step 5: Solve for x
    x = 178,042.08/396.58
  6. Step 6: Final answer
    x = 448.94

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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.