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Finding the Fourth Proportional to 392.44, 587.94 and 199.84

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Solution

The fourth proportional to 392.44, 587.94 and 199.84 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.44 : 587.94 = 199.84 : x
  2. Step 2: Convert to fraction form
    392.44/587.94 = 199.84/x
  3. Step 3: Cross multiply
    392.44x = 587.94 × 199.84
  4. Step 4: Simplify right side
    392.44x = 117,493.93
  5. Step 5: Solve for x
    x = 117,493.93/392.44
  6. Step 6: Final answer
    x = 299.39

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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.