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Finding the Fourth Proportional to 416.14, 574.24 and 229.64

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Solution

The fourth proportional to 416.14, 574.24 and 229.64 is: 316.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.14 : 574.24 = 229.64 : x
  2. Step 2: Convert to fraction form
    416.14/574.24 = 229.64/x
  3. Step 3: Cross multiply
    416.14x = 574.24 × 229.64
  4. Step 4: Simplify right side
    416.14x = 131,868.47
  5. Step 5: Solve for x
    x = 131,868.47/416.14
  6. Step 6: Final answer
    x = 316.88

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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.