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Finding the Fourth Proportional to 685.08, 944.83 and 436.48

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Solution

The fourth proportional to 685.08, 944.83 and 436.48 is: 601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.08 : 944.83 = 436.48 : x
  2. Step 2: Convert to fraction form
    685.08/944.83 = 436.48/x
  3. Step 3: Cross multiply
    685.08x = 944.83 × 436.48
  4. Step 4: Simplify right side
    685.08x = 412,399.40
  5. Step 5: Solve for x
    x = 412,399.40/685.08
  6. Step 6: Final answer
    x = 601.97

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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.