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Finding the Fourth Proportional to 359.85, 496.67 and 282.09

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Solution

The fourth proportional to 359.85, 496.67 and 282.09 is: 389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.85 : 496.67 = 282.09 : x
  2. Step 2: Convert to fraction form
    359.85/496.67 = 282.09/x
  3. Step 3: Cross multiply
    359.85x = 496.67 × 282.09
  4. Step 4: Simplify right side
    359.85x = 140,105.64
  5. Step 5: Solve for x
    x = 140,105.64/359.85
  6. Step 6: Final answer
    x = 389.34

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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.