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Finding the Fourth Proportional to 416.49, 574.70 and 229.97

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Solution

The fourth proportional to 416.49, 574.70 and 229.97 is: 317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 574.70 = 229.97 : x
  2. Step 2: Convert to fraction form
    416.49/574.70 = 229.97/x
  3. Step 3: Cross multiply
    416.49x = 574.70 × 229.97
  4. Step 4: Simplify right side
    416.49x = 132,164.05
  5. Step 5: Solve for x
    x = 132,164.05/416.49
  6. Step 6: Final answer
    x = 317.33

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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.