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Finding the Fourth Proportional to 288.73, 433.32 and 231.46

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Solution

The fourth proportional to 288.73, 433.32 and 231.46 is: 347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.73 : 433.32 = 231.46 : x
  2. Step 2: Convert to fraction form
    288.73/433.32 = 231.46/x
  3. Step 3: Cross multiply
    288.73x = 433.32 × 231.46
  4. Step 4: Simplify right side
    288.73x = 100,294.30
  5. Step 5: Solve for x
    x = 100,294.30/288.73
  6. Step 6: Final answer
    x = 347.36

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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.