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Finding the Fourth Proportional to 439.48, 658.68 and 196.01

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Solution

The fourth proportional to 439.48, 658.68 and 196.01 is: 293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.48 : 658.68 = 196.01 : x
  2. Step 2: Convert to fraction form
    439.48/658.68 = 196.01/x
  3. Step 3: Cross multiply
    439.48x = 658.68 × 196.01
  4. Step 4: Simplify right side
    439.48x = 129,107.87
  5. Step 5: Solve for x
    x = 129,107.87/439.48
  6. Step 6: Final answer
    x = 293.77

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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.