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Finding the Fourth Proportional to 392.89, 588.52 and 230.48

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Solution

The fourth proportional to 392.89, 588.52 and 230.48 is: 345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.89 : 588.52 = 230.48 : x
  2. Step 2: Convert to fraction form
    392.89/588.52 = 230.48/x
  3. Step 3: Cross multiply
    392.89x = 588.52 × 230.48
  4. Step 4: Simplify right side
    392.89x = 135,640.94
  5. Step 5: Solve for x
    x = 135,640.94/392.89
  6. Step 6: Final answer
    x = 345.24

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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.