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Finding the Fourth Proportional to 416, 574.07 and 229.49

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Solution

The fourth proportional to 416, 574.07 and 229.49 is: 316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 574.07 = 229.49 : x
  2. Step 2: Convert to fraction form
    416/574.07 = 229.49/x
  3. Step 3: Cross multiply
    416x = 574.07 × 229.49
  4. Step 4: Simplify right side
    416x = 131,743.32
  5. Step 5: Solve for x
    x = 131,743.32/416
  6. Step 6: Final answer
    x = 316.69

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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.