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Finding the Fourth Proportional to 439.95, 659.97 and 196.41

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Solution

The fourth proportional to 439.95, 659.97 and 196.41 is: 294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.95 : 659.97 = 196.41 : x
  2. Step 2: Convert to fraction form
    439.95/659.97 = 196.41/x
  3. Step 3: Cross multiply
    439.95x = 659.97 × 196.41
  4. Step 4: Simplify right side
    439.95x = 129,624.71
  5. Step 5: Solve for x
    x = 129,624.71/439.95
  6. Step 6: Final answer
    x = 294.64

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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.