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Finding the Fourth Proportional to 359.96, 496.78 and 204.72

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Solution

The fourth proportional to 359.96, 496.78 and 204.72 is: 282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.96 : 496.78 = 204.72 : x
  2. Step 2: Convert to fraction form
    359.96/496.78 = 204.72/x
  3. Step 3: Cross multiply
    359.96x = 496.78 × 204.72
  4. Step 4: Simplify right side
    359.96x = 101,700.80
  5. Step 5: Solve for x
    x = 101,700.80/359.96
  6. Step 6: Final answer
    x = 282.53

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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.