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Finding the Fourth Proportional to 548.59, 757.05 and 299.91

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Solution

The fourth proportional to 548.59, 757.05 and 299.91 is: 413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.59 : 757.05 = 299.91 : x
  2. Step 2: Convert to fraction form
    548.59/757.05 = 299.91/x
  3. Step 3: Cross multiply
    548.59x = 757.05 × 299.91
  4. Step 4: Simplify right side
    548.59x = 227,046.87
  5. Step 5: Solve for x
    x = 227,046.87/548.59
  6. Step 6: Final answer
    x = 413.87

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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.