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Finding the Fourth Proportional to 359.06, 495.30 and 227.84

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Solution

The fourth proportional to 359.06, 495.30 and 227.84 is: 314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.06 : 495.30 = 227.84 : x
  2. Step 2: Convert to fraction form
    359.06/495.30 = 227.84/x
  3. Step 3: Cross multiply
    359.06x = 495.30 × 227.84
  4. Step 4: Simplify right side
    359.06x = 112,849.15
  5. Step 5: Solve for x
    x = 112,849.15/359.06
  6. Step 6: Final answer
    x = 314.29

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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.