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Finding the Fourth Proportional to 680.21, 938.79 and 400.46

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Solution

The fourth proportional to 680.21, 938.79 and 400.46 is: 552.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.21 : 938.79 = 400.46 : x
  2. Step 2: Convert to fraction form
    680.21/938.79 = 400.46/x
  3. Step 3: Cross multiply
    680.21x = 938.79 × 400.46
  4. Step 4: Simplify right side
    680.21x = 375,943.15
  5. Step 5: Solve for x
    x = 375,943.15/680.21
  6. Step 6: Final answer
    x = 552.69

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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.