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Finding the Fourth Proportional to 288.25, 397.17 and 270.43

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Solution

The fourth proportional to 288.25, 397.17 and 270.43 is: 372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 397.17 = 270.43 : x
  2. Step 2: Convert to fraction form
    288.25/397.17 = 270.43/x
  3. Step 3: Cross multiply
    288.25x = 397.17 × 270.43
  4. Step 4: Simplify right side
    288.25x = 107,405.69
  5. Step 5: Solve for x
    x = 107,405.69/288.25
  6. Step 6: Final answer
    x = 372.62

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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.