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Finding the Fourth Proportional to 416.02, 574.09 and 229.52

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Solution

The fourth proportional to 416.02, 574.09 and 229.52 is: 316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.02 : 574.09 = 229.52 : x
  2. Step 2: Convert to fraction form
    416.02/574.09 = 229.52/x
  3. Step 3: Cross multiply
    416.02x = 574.09 × 229.52
  4. Step 4: Simplify right side
    416.02x = 131,765.14
  5. Step 5: Solve for x
    x = 131,765.14/416.02
  6. Step 6: Final answer
    x = 316.73

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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.