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Finding the Fourth Proportional to 392.01, 584.52 and 350.97

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Solution

The fourth proportional to 392.01, 584.52 and 350.97 is: 523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.01 : 584.52 = 350.97 : x
  2. Step 2: Convert to fraction form
    392.01/584.52 = 350.97/x
  3. Step 3: Cross multiply
    392.01x = 584.52 × 350.97
  4. Step 4: Simplify right side
    392.01x = 205,148.98
  5. Step 5: Solve for x
    x = 205,148.98/392.01
  6. Step 6: Final answer
    x = 523.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.