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Finding the Fourth Proportional to 325.46, 448.89 and 227.36

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Solution

The fourth proportional to 325.46, 448.89 and 227.36 is: 313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.46 : 448.89 = 227.36 : x
  2. Step 2: Convert to fraction form
    325.46/448.89 = 227.36/x
  3. Step 3: Cross multiply
    325.46x = 448.89 × 227.36
  4. Step 4: Simplify right side
    325.46x = 102,059.63
  5. Step 5: Solve for x
    x = 102,059.63/325.46
  6. Step 6: Final answer
    x = 313.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.