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Finding the Fourth Proportional to 685.11, 945.39 and 390.33

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Solution

The fourth proportional to 685.11, 945.39 and 390.33 is: 538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.11 : 945.39 = 390.33 : x
  2. Step 2: Convert to fraction form
    685.11/945.39 = 390.33/x
  3. Step 3: Cross multiply
    685.11x = 945.39 × 390.33
  4. Step 4: Simplify right side
    685.11x = 369,014.08
  5. Step 5: Solve for x
    x = 369,014.08/685.11
  6. Step 6: Final answer
    x = 538.62

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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.