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Finding the Fourth Proportional to 393.14, 542.61 and 299.85

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Solution

The fourth proportional to 393.14, 542.61 and 299.85 is: 413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.14 : 542.61 = 299.85 : x
  2. Step 2: Convert to fraction form
    393.14/542.61 = 299.85/x
  3. Step 3: Cross multiply
    393.14x = 542.61 × 299.85
  4. Step 4: Simplify right side
    393.14x = 162,701.61
  5. Step 5: Solve for x
    x = 162,701.61/393.14
  6. Step 6: Final answer
    x = 413.86

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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.