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Finding the Fourth Proportional to 685.88, 945.92 and 423.44

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Solution

The fourth proportional to 685.88, 945.92 and 423.44 is: 583.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.88 : 945.92 = 423.44 : x
  2. Step 2: Convert to fraction form
    685.88/945.92 = 423.44/x
  3. Step 3: Cross multiply
    685.88x = 945.92 × 423.44
  4. Step 4: Simplify right side
    685.88x = 400,536.69
  5. Step 5: Solve for x
    x = 400,536.69/685.88
  6. Step 6: Final answer
    x = 583.98

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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.