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Finding the Fourth Proportional to 396.69, 595.04 and 108.14

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Solution

The fourth proportional to 396.69, 595.04 and 108.14 is: 162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.69 : 595.04 = 108.14 : x
  2. Step 2: Convert to fraction form
    396.69/595.04 = 108.14/x
  3. Step 3: Cross multiply
    396.69x = 595.04 × 108.14
  4. Step 4: Simplify right side
    396.69x = 64,344.11
  5. Step 5: Solve for x
    x = 64,344.11/396.69
  6. Step 6: Final answer
    x = 162.20

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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.