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Finding the Fourth Proportional to 493.25, 680.68 and 272.19

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Solution

The fourth proportional to 493.25, 680.68 and 272.19 is: 375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.25 : 680.68 = 272.19 : x
  2. Step 2: Convert to fraction form
    493.25/680.68 = 272.19/x
  3. Step 3: Cross multiply
    493.25x = 680.68 × 272.19
  4. Step 4: Simplify right side
    493.25x = 185,274.29
  5. Step 5: Solve for x
    x = 185,274.29/493.25
  6. Step 6: Final answer
    x = 375.62

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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.