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Finding the Fourth Proportional to 359.27, 495.80 and 226.49

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Solution

The fourth proportional to 359.27, 495.80 and 226.49 is: 312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.27 : 495.80 = 226.49 : x
  2. Step 2: Convert to fraction form
    359.27/495.80 = 226.49/x
  3. Step 3: Cross multiply
    359.27x = 495.80 × 226.49
  4. Step 4: Simplify right side
    359.27x = 112,293.74
  5. Step 5: Solve for x
    x = 112,293.74/359.27
  6. Step 6: Final answer
    x = 312.56

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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.