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Finding the Fourth Proportional to 288.25, 431.64 and 227.71

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Solution

The fourth proportional to 288.25, 431.64 and 227.71 is: 340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 431.64 = 227.71 : x
  2. Step 2: Convert to fraction form
    288.25/431.64 = 227.71/x
  3. Step 3: Cross multiply
    288.25x = 431.64 × 227.71
  4. Step 4: Simplify right side
    288.25x = 98,288.74
  5. Step 5: Solve for x
    x = 98,288.74/288.25
  6. Step 6: Final answer
    x = 340.98

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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.