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Finding the Fourth Proportional to 396.45, 594.55 and 118.86

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Solution

The fourth proportional to 396.45, 594.55 and 118.86 is: 178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.45 : 594.55 = 118.86 : x
  2. Step 2: Convert to fraction form
    396.45/594.55 = 118.86/x
  3. Step 3: Cross multiply
    396.45x = 594.55 × 118.86
  4. Step 4: Simplify right side
    396.45x = 70,668.21
  5. Step 5: Solve for x
    x = 70,668.21/396.45
  6. Step 6: Final answer
    x = 178.25

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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.