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Finding the Fourth Proportional to 546.83, 820.09 and 217.77

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Solution

The fourth proportional to 546.83, 820.09 and 217.77 is: 326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.83 : 820.09 = 217.77 : x
  2. Step 2: Convert to fraction form
    546.83/820.09 = 217.77/x
  3. Step 3: Cross multiply
    546.83x = 820.09 × 217.77
  4. Step 4: Simplify right side
    546.83x = 178,588.20
  5. Step 5: Solve for x
    x = 178,588.20/546.83
  6. Step 6: Final answer
    x = 326.59

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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.