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Finding the Fourth Proportional to 546.57, 820.17 and 327.26

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Solution

The fourth proportional to 546.57, 820.17 and 327.26 is: 491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.57 : 820.17 = 327.26 : x
  2. Step 2: Convert to fraction form
    546.57/820.17 = 327.26/x
  3. Step 3: Cross multiply
    546.57x = 820.17 × 327.26
  4. Step 4: Simplify right side
    546.57x = 268,410.88
  5. Step 5: Solve for x
    x = 268,410.88/546.57
  6. Step 6: Final answer
    x = 491.08

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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.