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Finding the Fourth Proportional to 359.44, 495.92 and 219.41

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Solution

The fourth proportional to 359.44, 495.92 and 219.41 is: 302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.44 : 495.92 = 219.41 : x
  2. Step 2: Convert to fraction form
    359.44/495.92 = 219.41/x
  3. Step 3: Cross multiply
    359.44x = 495.92 × 219.41
  4. Step 4: Simplify right side
    359.44x = 108,809.74
  5. Step 5: Solve for x
    x = 108,809.74/359.44
  6. Step 6: Final answer
    x = 302.72

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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.