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Finding the Fourth Proportional to 392.01, 588.20 and 199.77

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Solution

The fourth proportional to 392.01, 588.20 and 199.77 is: 299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.01 : 588.20 = 199.77 : x
  2. Step 2: Convert to fraction form
    392.01/588.20 = 199.77/x
  3. Step 3: Cross multiply
    392.01x = 588.20 × 199.77
  4. Step 4: Simplify right side
    392.01x = 117,503.72
  5. Step 5: Solve for x
    x = 117,503.72/392.01
  6. Step 6: Final answer
    x = 299.75

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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.