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Finding the Fourth Proportional to 412.12, 617.94 and 229.60

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Solution

The fourth proportional to 412.12, 617.94 and 229.60 is: 344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.12 : 617.94 = 229.60 : x
  2. Step 2: Convert to fraction form
    412.12/617.94 = 229.60/x
  3. Step 3: Cross multiply
    412.12x = 617.94 × 229.60
  4. Step 4: Simplify right side
    412.12x = 141,879.02
  5. Step 5: Solve for x
    x = 141,879.02/412.12
  6. Step 6: Final answer
    x = 344.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.