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Finding the Fourth Proportional to 680.28, 938.43 and 582.27

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Solution

The fourth proportional to 680.28, 938.43 and 582.27 is: 803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.28 : 938.43 = 582.27 : x
  2. Step 2: Convert to fraction form
    680.28/938.43 = 582.27/x
  3. Step 3: Cross multiply
    680.28x = 938.43 × 582.27
  4. Step 4: Simplify right side
    680.28x = 546,419.64
  5. Step 5: Solve for x
    x = 546,419.64/680.28
  6. Step 6: Final answer
    x = 803.23

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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.