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Finding the Fourth Proportional to 547.26, 755.40 and 326.28

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Solution

The fourth proportional to 547.26, 755.40 and 326.28 is: 450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.26 : 755.40 = 326.28 : x
  2. Step 2: Convert to fraction form
    547.26/755.40 = 326.28/x
  3. Step 3: Cross multiply
    547.26x = 755.40 × 326.28
  4. Step 4: Simplify right side
    547.26x = 246,471.91
  5. Step 5: Solve for x
    x = 246,471.91/547.26
  6. Step 6: Final answer
    x = 450.37

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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.