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Finding the Fourth Proportional to 548.25, 756.57 and 299.56

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Solution

The fourth proportional to 548.25, 756.57 and 299.56 is: 413.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.25 : 756.57 = 299.56 : x
  2. Step 2: Convert to fraction form
    548.25/756.57 = 299.56/x
  3. Step 3: Cross multiply
    548.25x = 756.57 × 299.56
  4. Step 4: Simplify right side
    548.25x = 226,638.11
  5. Step 5: Solve for x
    x = 226,638.11/548.25
  6. Step 6: Final answer
    x = 413.39

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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.