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Finding the Fourth Proportional to 546.64, 820.18 and 327.68

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Solution

The fourth proportional to 546.64, 820.18 and 327.68 is: 491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.64 : 820.18 = 327.68 : x
  2. Step 2: Convert to fraction form
    546.64/820.18 = 327.68/x
  3. Step 3: Cross multiply
    546.64x = 820.18 × 327.68
  4. Step 4: Simplify right side
    546.64x = 268,759.04
  5. Step 5: Solve for x
    x = 268,759.04/546.64
  6. Step 6: Final answer
    x = 491.66

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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.