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Finding the Fourth Proportional to 423.26, 583.97 and 236.73

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Solution

The fourth proportional to 423.26, 583.97 and 236.73 is: 326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.26 : 583.97 = 236.73 : x
  2. Step 2: Convert to fraction form
    423.26/583.97 = 236.73/x
  3. Step 3: Cross multiply
    423.26x = 583.97 × 236.73
  4. Step 4: Simplify right side
    423.26x = 138,243.22
  5. Step 5: Solve for x
    x = 138,243.22/423.26
  6. Step 6: Final answer
    x = 326.62

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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.