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Finding the Fourth Proportional to 416.14, 574.27 and 229.62

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Solution

The fourth proportional to 416.14, 574.27 and 229.62 is: 316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.14 : 574.27 = 229.62 : x
  2. Step 2: Convert to fraction form
    416.14/574.27 = 229.62/x
  3. Step 3: Cross multiply
    416.14x = 574.27 × 229.62
  4. Step 4: Simplify right side
    416.14x = 131,863.88
  5. Step 5: Solve for x
    x = 131,863.88/416.14
  6. Step 6: Final answer
    x = 316.87

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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.