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Finding the Fourth Proportional to 453.73, 680.27 and 233.93

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Solution

The fourth proportional to 453.73, 680.27 and 233.93 is: 350.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.73 : 680.27 = 233.93 : x
  2. Step 2: Convert to fraction form
    453.73/680.27 = 233.93/x
  3. Step 3: Cross multiply
    453.73x = 680.27 × 233.93
  4. Step 4: Simplify right side
    453.73x = 159,135.56
  5. Step 5: Solve for x
    x = 159,135.56/453.73
  6. Step 6: Final answer
    x = 350.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.