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Finding the Fourth Proportional to 359.97, 496.80 and 229.05

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Solution

The fourth proportional to 359.97, 496.80 and 229.05 is: 316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.97 : 496.80 = 229.05 : x
  2. Step 2: Convert to fraction form
    359.97/496.80 = 229.05/x
  3. Step 3: Cross multiply
    359.97x = 496.80 × 229.05
  4. Step 4: Simplify right side
    359.97x = 113,792.04
  5. Step 5: Solve for x
    x = 113,792.04/359.97
  6. Step 6: Final answer
    x = 316.12

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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.