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Finding the Fourth Proportional to 359.36, 495.82 and 219.49

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Solution

The fourth proportional to 359.36, 495.82 and 219.49 is: 302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.36 : 495.82 = 219.49 : x
  2. Step 2: Convert to fraction form
    359.36/495.82 = 219.49/x
  3. Step 3: Cross multiply
    359.36x = 495.82 × 219.49
  4. Step 4: Simplify right side
    359.36x = 108,827.53
  5. Step 5: Solve for x
    x = 108,827.53/359.36
  6. Step 6: Final answer
    x = 302.84

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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.