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Finding the Fourth Proportional to 416.10, 574.19 and 229.60

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Solution

The fourth proportional to 416.10, 574.19 and 229.60 is: 316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.10 : 574.19 = 229.60 : x
  2. Step 2: Convert to fraction form
    416.10/574.19 = 229.60/x
  3. Step 3: Cross multiply
    416.10x = 574.19 × 229.60
  4. Step 4: Simplify right side
    416.10x = 131,834.45
  5. Step 5: Solve for x
    x = 131,834.45/416.10
  6. Step 6: Final answer
    x = 316.83

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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.