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Finding the Fourth Proportional to 396.80, 595.33 and 188.66

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Solution

The fourth proportional to 396.80, 595.33 and 188.66 is: 283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.80 : 595.33 = 188.66 : x
  2. Step 2: Convert to fraction form
    396.80/595.33 = 188.66/x
  3. Step 3: Cross multiply
    396.80x = 595.33 × 188.66
  4. Step 4: Simplify right side
    396.80x = 112,311.98
  5. Step 5: Solve for x
    x = 112,311.98/396.80
  6. Step 6: Final answer
    x = 283.04

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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.