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Finding the Fourth Proportional to 393.27, 542.46 and 299.97

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Solution

The fourth proportional to 393.27, 542.46 and 299.97 is: 413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.27 : 542.46 = 299.97 : x
  2. Step 2: Convert to fraction form
    393.27/542.46 = 299.97/x
  3. Step 3: Cross multiply
    393.27x = 542.46 × 299.97
  4. Step 4: Simplify right side
    393.27x = 162,721.73
  5. Step 5: Solve for x
    x = 162,721.73/393.27
  6. Step 6: Final answer
    x = 413.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.