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Finding the Fourth Proportional to 288, 396.48 and 251.12

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Solution

The fourth proportional to 288, 396.48 and 251.12 is: 345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 396.48 = 251.12 : x
  2. Step 2: Convert to fraction form
    288/396.48 = 251.12/x
  3. Step 3: Cross multiply
    288x = 396.48 × 251.12
  4. Step 4: Simplify right side
    288x = 99,564.06
  5. Step 5: Solve for x
    x = 99,564.06/288
  6. Step 6: Final answer
    x = 345.71

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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.