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Finding the Fourth Proportional to 297.53, 445.39 and 232.73

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Solution

The fourth proportional to 297.53, 445.39 and 232.73 is: 348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.53 : 445.39 = 232.73 : x
  2. Step 2: Convert to fraction form
    297.53/445.39 = 232.73/x
  3. Step 3: Cross multiply
    297.53x = 445.39 × 232.73
  4. Step 4: Simplify right side
    297.53x = 103,652.81
  5. Step 5: Solve for x
    x = 103,652.81/297.53
  6. Step 6: Final answer
    x = 348.38

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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.