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Finding the Fourth Proportional to 484.26, 726.66 and 227.76

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Solution

The fourth proportional to 484.26, 726.66 and 227.76 is: 341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.26 : 726.66 = 227.76 : x
  2. Step 2: Convert to fraction form
    484.26/726.66 = 227.76/x
  3. Step 3: Cross multiply
    484.26x = 726.66 × 227.76
  4. Step 4: Simplify right side
    484.26x = 165,504.08
  5. Step 5: Solve for x
    x = 165,504.08/484.26
  6. Step 6: Final answer
    x = 341.77

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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.