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Finding the Fourth Proportional to 487.22, 730.76 and 227.21

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Solution

The fourth proportional to 487.22, 730.76 and 227.21 is: 340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.22 : 730.76 = 227.21 : x
  2. Step 2: Convert to fraction form
    487.22/730.76 = 227.21/x
  3. Step 3: Cross multiply
    487.22x = 730.76 × 227.21
  4. Step 4: Simplify right side
    487.22x = 166,031.19
  5. Step 5: Solve for x
    x = 166,031.19/487.22
  6. Step 6: Final answer
    x = 340.78

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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.