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Finding the Fourth Proportional to 685.22, 945.78 and 423.08

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Solution

The fourth proportional to 685.22, 945.78 and 423.08 is: 583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.22 : 945.78 = 423.08 : x
  2. Step 2: Convert to fraction form
    685.22/945.78 = 423.08/x
  3. Step 3: Cross multiply
    685.22x = 945.78 × 423.08
  4. Step 4: Simplify right side
    685.22x = 400,136.12
  5. Step 5: Solve for x
    x = 400,136.12/685.22
  6. Step 6: Final answer
    x = 583.96

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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.