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Finding the Fourth Proportional to 396.34, 594.45 and 107.80

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Solution

The fourth proportional to 396.34, 594.45 and 107.80 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.34 : 594.45 = 107.80 : x
  2. Step 2: Convert to fraction form
    396.34/594.45 = 107.80/x
  3. Step 3: Cross multiply
    396.34x = 594.45 × 107.80
  4. Step 4: Simplify right side
    396.34x = 64,081.71
  5. Step 5: Solve for x
    x = 64,081.71/396.34
  6. Step 6: Final answer
    x = 161.68

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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.