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Finding the Fourth Proportional to 680.11, 938.17 and 443.76

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Solution

The fourth proportional to 680.11, 938.17 and 443.76 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.11 : 938.17 = 443.76 : x
  2. Step 2: Convert to fraction form
    680.11/938.17 = 443.76/x
  3. Step 3: Cross multiply
    680.11x = 938.17 × 443.76
  4. Step 4: Simplify right side
    680.11x = 416,317.63
  5. Step 5: Solve for x
    x = 416,317.63/680.11
  6. Step 6: Final answer
    x = 612.14

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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.