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Finding the Fourth Proportional to 548.62, 757.09 and 299.94

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Solution

The fourth proportional to 548.62, 757.09 and 299.94 is: 413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.62 : 757.09 = 299.94 : x
  2. Step 2: Convert to fraction form
    548.62/757.09 = 299.94/x
  3. Step 3: Cross multiply
    548.62x = 757.09 × 299.94
  4. Step 4: Simplify right side
    548.62x = 227,081.57
  5. Step 5: Solve for x
    x = 227,081.57/548.62
  6. Step 6: Final answer
    x = 413.91

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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.