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Finding the Fourth Proportional to 685.09, 945.37 and 386.41

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Solution

The fourth proportional to 685.09, 945.37 and 386.41 is: 533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.09 : 945.37 = 386.41 : x
  2. Step 2: Convert to fraction form
    685.09/945.37 = 386.41/x
  3. Step 3: Cross multiply
    685.09x = 945.37 × 386.41
  4. Step 4: Simplify right side
    685.09x = 365,298.97
  5. Step 5: Solve for x
    x = 365,298.97/685.09
  6. Step 6: Final answer
    x = 533.21

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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.