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Finding the Fourth Proportional to 548.52, 756.94 and 299.84

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Solution

The fourth proportional to 548.52, 756.94 and 299.84 is: 413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.52 : 756.94 = 299.84 : x
  2. Step 2: Convert to fraction form
    548.52/756.94 = 299.84/x
  3. Step 3: Cross multiply
    548.52x = 756.94 × 299.84
  4. Step 4: Simplify right side
    548.52x = 226,960.89
  5. Step 5: Solve for x
    x = 226,960.89/548.52
  6. Step 6: Final answer
    x = 413.77

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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.