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Finding the Fourth Proportional to 293.53, 439.46 and 232.75

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Solution

The fourth proportional to 293.53, 439.46 and 232.75 is: 348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.53 : 439.46 = 232.75 : x
  2. Step 2: Convert to fraction form
    293.53/439.46 = 232.75/x
  3. Step 3: Cross multiply
    293.53x = 439.46 × 232.75
  4. Step 4: Simplify right side
    293.53x = 102,283.15
  5. Step 5: Solve for x
    x = 102,283.15/293.53
  6. Step 6: Final answer
    x = 348.46

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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.