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Finding the Fourth Proportional to 359.69, 496.56 and 254.86

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Solution

The fourth proportional to 359.69, 496.56 and 254.86 is: 351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.69 : 496.56 = 254.86 : x
  2. Step 2: Convert to fraction form
    359.69/496.56 = 254.86/x
  3. Step 3: Cross multiply
    359.69x = 496.56 × 254.86
  4. Step 4: Simplify right side
    359.69x = 126,552.01
  5. Step 5: Solve for x
    x = 126,552.01/359.69
  6. Step 6: Final answer
    x = 351.84

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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.