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Finding the Fourth Proportional to 547.18, 754.89 and 326.05

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Solution

The fourth proportional to 547.18, 754.89 and 326.05 is: 449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.18 : 754.89 = 326.05 : x
  2. Step 2: Convert to fraction form
    547.18/754.89 = 326.05/x
  3. Step 3: Cross multiply
    547.18x = 754.89 × 326.05
  4. Step 4: Simplify right side
    547.18x = 246,131.88
  5. Step 5: Solve for x
    x = 246,131.88/547.18
  6. Step 6: Final answer
    x = 449.82

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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.