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Finding the Fourth Proportional to 359.70, 496.36 and 204.45

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Solution

The fourth proportional to 359.70, 496.36 and 204.45 is: 282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.70 : 496.36 = 204.45 : x
  2. Step 2: Convert to fraction form
    359.70/496.36 = 204.45/x
  3. Step 3: Cross multiply
    359.70x = 496.36 × 204.45
  4. Step 4: Simplify right side
    359.70x = 101,480.80
  5. Step 5: Solve for x
    x = 101,480.80/359.70
  6. Step 6: Final answer
    x = 282.13

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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.