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Finding the Fourth Proportional to 392.41, 588.21 and 197.29

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Solution

The fourth proportional to 392.41, 588.21 and 197.29 is: 295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.41 : 588.21 = 197.29 : x
  2. Step 2: Convert to fraction form
    392.41/588.21 = 197.29/x
  3. Step 3: Cross multiply
    392.41x = 588.21 × 197.29
  4. Step 4: Simplify right side
    392.41x = 116,047.95
  5. Step 5: Solve for x
    x = 116,047.95/392.41
  6. Step 6: Final answer
    x = 295.73

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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.