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Finding the Fourth Proportional to 487.64, 731.36 and 227.56

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Solution

The fourth proportional to 487.64, 731.36 and 227.56 is: 341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.64 : 731.36 = 227.56 : x
  2. Step 2: Convert to fraction form
    487.64/731.36 = 227.56/x
  3. Step 3: Cross multiply
    487.64x = 731.36 × 227.56
  4. Step 4: Simplify right side
    487.64x = 166,428.28
  5. Step 5: Solve for x
    x = 166,428.28/487.64
  6. Step 6: Final answer
    x = 341.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.