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Finding the Fourth Proportional to 548.40, 756.67 and 327.43

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Solution

The fourth proportional to 548.40, 756.67 and 327.43 is: 451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 756.67 = 327.43 : x
  2. Step 2: Convert to fraction form
    548.40/756.67 = 327.43/x
  3. Step 3: Cross multiply
    548.40x = 756.67 × 327.43
  4. Step 4: Simplify right side
    548.40x = 247,751.04
  5. Step 5: Solve for x
    x = 247,751.04/548.40
  6. Step 6: Final answer
    x = 451.77

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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.