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Finding the Fourth Proportional to 359.84, 496.60 and 254.90

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Solution

The fourth proportional to 359.84, 496.60 and 254.90 is: 351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.84 : 496.60 = 254.90 : x
  2. Step 2: Convert to fraction form
    359.84/496.60 = 254.90/x
  3. Step 3: Cross multiply
    359.84x = 496.60 × 254.90
  4. Step 4: Simplify right side
    359.84x = 126,583.34
  5. Step 5: Solve for x
    x = 126,583.34/359.84
  6. Step 6: Final answer
    x = 351.78

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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.