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Finding the Fourth Proportional to 393.20, 542.53 and 299.78

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Solution

The fourth proportional to 393.20, 542.53 and 299.78 is: 413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.20 : 542.53 = 299.78 : x
  2. Step 2: Convert to fraction form
    393.20/542.53 = 299.78/x
  3. Step 3: Cross multiply
    393.20x = 542.53 × 299.78
  4. Step 4: Simplify right side
    393.20x = 162,639.64
  5. Step 5: Solve for x
    x = 162,639.64/393.20
  6. Step 6: Final answer
    x = 413.63

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