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Finding the Fourth Proportional to 547.01, 820.28 and 217.90

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Solution

The fourth proportional to 547.01, 820.28 and 217.90 is: 326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.01 : 820.28 = 217.90 : x
  2. Step 2: Convert to fraction form
    547.01/820.28 = 217.90/x
  3. Step 3: Cross multiply
    547.01x = 820.28 × 217.90
  4. Step 4: Simplify right side
    547.01x = 178,737.51
  5. Step 5: Solve for x
    x = 178,737.51/547.01
  6. Step 6: Final answer
    x = 326.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.