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Finding the Fourth Proportional to 359.30, 496.02 and 254.49

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Solution

The fourth proportional to 359.30, 496.02 and 254.49 is: 351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.30 : 496.02 = 254.49 : x
  2. Step 2: Convert to fraction form
    359.30/496.02 = 254.49/x
  3. Step 3: Cross multiply
    359.30x = 496.02 × 254.49
  4. Step 4: Simplify right side
    359.30x = 126,232.13
  5. Step 5: Solve for x
    x = 126,232.13/359.30
  6. Step 6: Final answer
    x = 351.33

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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.