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Finding the Fourth Proportional to 548.52, 756.96 and 299.84

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Solution

The fourth proportional to 548.52, 756.96 and 299.84 is: 413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.52 : 756.96 = 299.84 : x
  2. Step 2: Convert to fraction form
    548.52/756.96 = 299.84/x
  3. Step 3: Cross multiply
    548.52x = 756.96 × 299.84
  4. Step 4: Simplify right side
    548.52x = 226,966.89
  5. Step 5: Solve for x
    x = 226,966.89/548.52
  6. Step 6: Final answer
    x = 413.78

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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.