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Finding the Fourth Proportional to 680.96, 939.78 and 386.30

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Solution

The fourth proportional to 680.96, 939.78 and 386.30 is: 533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.96 : 939.78 = 386.30 : x
  2. Step 2: Convert to fraction form
    680.96/939.78 = 386.30/x
  3. Step 3: Cross multiply
    680.96x = 939.78 × 386.30
  4. Step 4: Simplify right side
    680.96x = 363,037.01
  5. Step 5: Solve for x
    x = 363,037.01/680.96
  6. Step 6: Final answer
    x = 533.13

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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.