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Finding the Fourth Proportional to 493.60, 680.68 and 327.64

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Solution

The fourth proportional to 493.60, 680.68 and 327.64 is: 451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.60 : 680.68 = 327.64 : x
  2. Step 2: Convert to fraction form
    493.60/680.68 = 327.64/x
  3. Step 3: Cross multiply
    493.60x = 680.68 × 327.64
  4. Step 4: Simplify right side
    493.60x = 223,018.00
  5. Step 5: Solve for x
    x = 223,018.00/493.60
  6. Step 6: Final answer
    x = 451.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.