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Finding the Fourth Proportional to 391.48, 586.32 and 196.12

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Solution

The fourth proportional to 391.48, 586.32 and 196.12 is: 293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.48 : 586.32 = 196.12 : x
  2. Step 2: Convert to fraction form
    391.48/586.32 = 196.12/x
  3. Step 3: Cross multiply
    391.48x = 586.32 × 196.12
  4. Step 4: Simplify right side
    391.48x = 114,989.08
  5. Step 5: Solve for x
    x = 114,989.08/391.48
  6. Step 6: Final answer
    x = 293.73

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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.