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Finding the Fourth Proportional to 394.69, 591.77 and 199.65

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Solution

The fourth proportional to 394.69, 591.77 and 199.65 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.69 : 591.77 = 199.65 : x
  2. Step 2: Convert to fraction form
    394.69/591.77 = 199.65/x
  3. Step 3: Cross multiply
    394.69x = 591.77 × 199.65
  4. Step 4: Simplify right side
    394.69x = 118,146.68
  5. Step 5: Solve for x
    x = 118,146.68/394.69
  6. Step 6: Final answer
    x = 299.34

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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.