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Finding the Fourth Proportional to 359.73, 496.36 and 219.89

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Solution

The fourth proportional to 359.73, 496.36 and 219.89 is: 303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.73 : 496.36 = 219.89 : x
  2. Step 2: Convert to fraction form
    359.73/496.36 = 219.89/x
  3. Step 3: Cross multiply
    359.73x = 496.36 × 219.89
  4. Step 4: Simplify right side
    359.73x = 109,142.12
  5. Step 5: Solve for x
    x = 109,142.12/359.73
  6. Step 6: Final answer
    x = 303.40

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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.