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Finding the Fourth Proportional to 548.57, 756.99 and 299.84

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Solution

The fourth proportional to 548.57, 756.99 and 299.84 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.57 : 756.99 = 299.84 : x
  2. Step 2: Convert to fraction form
    548.57/756.99 = 299.84/x
  3. Step 3: Cross multiply
    548.57x = 756.99 × 299.84
  4. Step 4: Simplify right side
    548.57x = 226,974.74
  5. Step 5: Solve for x
    x = 226,974.74/548.57
  6. Step 6: Final answer
    x = 413.76

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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.