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Finding the Fourth Proportional to 392.70, 588.83 and 269.45

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Solution

The fourth proportional to 392.70, 588.83 and 269.45 is: 404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.70 : 588.83 = 269.45 : x
  2. Step 2: Convert to fraction form
    392.70/588.83 = 269.45/x
  3. Step 3: Cross multiply
    392.70x = 588.83 × 269.45
  4. Step 4: Simplify right side
    392.70x = 158,657.97
  5. Step 5: Solve for x
    x = 158,657.97/392.70
  6. Step 6: Final answer
    x = 404.02

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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.