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Finding the Fourth Proportional to 548.33, 756.64 and 327.25

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Solution

The fourth proportional to 548.33, 756.64 and 327.25 is: 451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.33 : 756.64 = 327.25 : x
  2. Step 2: Convert to fraction form
    548.33/756.64 = 327.25/x
  3. Step 3: Cross multiply
    548.33x = 756.64 × 327.25
  4. Step 4: Simplify right side
    548.33x = 247,610.44
  5. Step 5: Solve for x
    x = 247,610.44/548.33
  6. Step 6: Final answer
    x = 451.57

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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.