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Finding the Fourth Proportional to 548.57, 757.00 and 299.87

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Solution

The fourth proportional to 548.57, 757.00 and 299.87 is: 413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.57 : 757.00 = 299.87 : x
  2. Step 2: Convert to fraction form
    548.57/757.00 = 299.87/x
  3. Step 3: Cross multiply
    548.57x = 757.00 × 299.87
  4. Step 4: Simplify right side
    548.57x = 227,004.23
  5. Step 5: Solve for x
    x = 227,004.23/548.57
  6. Step 6: Final answer
    x = 413.81

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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.