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Finding the Fourth Proportional to 546.80, 820.07 and 327.29

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Solution

The fourth proportional to 546.80, 820.07 and 327.29 is: 490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.80 : 820.07 = 327.29 : x
  2. Step 2: Convert to fraction form
    546.80/820.07 = 327.29/x
  3. Step 3: Cross multiply
    546.80x = 820.07 × 327.29
  4. Step 4: Simplify right side
    546.80x = 268,399.07
  5. Step 5: Solve for x
    x = 268,399.07/546.80
  6. Step 6: Final answer
    x = 490.85

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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.