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Finding the Fourth Proportional to 680.89, 939.62 and 386.21

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Solution

The fourth proportional to 680.89, 939.62 and 386.21 is: 532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.89 : 939.62 = 386.21 : x
  2. Step 2: Convert to fraction form
    680.89/939.62 = 386.21/x
  3. Step 3: Cross multiply
    680.89x = 939.62 × 386.21
  4. Step 4: Simplify right side
    680.89x = 362,893.95
  5. Step 5: Solve for x
    x = 362,893.95/680.89
  6. Step 6: Final answer
    x = 532.97

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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.