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Finding the Fourth Proportional to 392.43, 588.83 and 173.04

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Solution

The fourth proportional to 392.43, 588.83 and 173.04 is: 259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.43 : 588.83 = 173.04 : x
  2. Step 2: Convert to fraction form
    392.43/588.83 = 173.04/x
  3. Step 3: Cross multiply
    392.43x = 588.83 × 173.04
  4. Step 4: Simplify right side
    392.43x = 101,891.14
  5. Step 5: Solve for x
    x = 101,891.14/392.43
  6. Step 6: Final answer
    x = 259.64

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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.