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Finding the Fourth Proportional to 548.26, 756.20 and 327.06

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Solution

The fourth proportional to 548.26, 756.20 and 327.06 is: 451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.26 : 756.20 = 327.06 : x
  2. Step 2: Convert to fraction form
    548.26/756.20 = 327.06/x
  3. Step 3: Cross multiply
    548.26x = 756.20 × 327.06
  4. Step 4: Simplify right side
    548.26x = 247,322.77
  5. Step 5: Solve for x
    x = 247,322.77/548.26
  6. Step 6: Final answer
    x = 451.10

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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.