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Finding the Fourth Proportional to 359.80, 496.44 and 204.52

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Solution

The fourth proportional to 359.80, 496.44 and 204.52 is: 282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.80 : 496.44 = 204.52 : x
  2. Step 2: Convert to fraction form
    359.80/496.44 = 204.52/x
  3. Step 3: Cross multiply
    359.80x = 496.44 × 204.52
  4. Step 4: Simplify right side
    359.80x = 101,531.91
  5. Step 5: Solve for x
    x = 101,531.91/359.80
  6. Step 6: Final answer
    x = 282.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.