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Finding the Fourth Proportional to 359.99, 496.86 and 228.97

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Solution

The fourth proportional to 359.99, 496.86 and 228.97 is: 316.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.99 : 496.86 = 228.97 : x
  2. Step 2: Convert to fraction form
    359.99/496.86 = 228.97/x
  3. Step 3: Cross multiply
    359.99x = 496.86 × 228.97
  4. Step 4: Simplify right side
    359.99x = 113,766.03
  5. Step 5: Solve for x
    x = 113,766.03/359.99
  6. Step 6: Final answer
    x = 316.03

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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.