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Finding the Fourth Proportional to 416.16, 574.27 and 229.65

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Solution

The fourth proportional to 416.16, 574.27 and 229.65 is: 316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 574.27 = 229.65 : x
  2. Step 2: Convert to fraction form
    416.16/574.27 = 229.65/x
  3. Step 3: Cross multiply
    416.16x = 574.27 × 229.65
  4. Step 4: Simplify right side
    416.16x = 131,878.38
  5. Step 5: Solve for x
    x = 131,878.38/416.16
  6. Step 6: Final answer
    x = 316.89

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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.