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Finding the Fourth Proportional to 391.85, 587.04 and 196.62

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Solution

The fourth proportional to 391.85, 587.04 and 196.62 is: 294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.85 : 587.04 = 196.62 : x
  2. Step 2: Convert to fraction form
    391.85/587.04 = 196.62/x
  3. Step 3: Cross multiply
    391.85x = 587.04 × 196.62
  4. Step 4: Simplify right side
    391.85x = 115,423.80
  5. Step 5: Solve for x
    x = 115,423.80/391.85
  6. Step 6: Final answer
    x = 294.56

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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.