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Finding the Fourth Proportional to 685.62, 945.99 and 390.78

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Solution

The fourth proportional to 685.62, 945.99 and 390.78 is: 539.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.62 : 945.99 = 390.78 : x
  2. Step 2: Convert to fraction form
    685.62/945.99 = 390.78/x
  3. Step 3: Cross multiply
    685.62x = 945.99 × 390.78
  4. Step 4: Simplify right side
    685.62x = 369,673.97
  5. Step 5: Solve for x
    x = 369,673.97/685.62
  6. Step 6: Final answer
    x = 539.18

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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.