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Finding the Fourth Proportional to 412.26, 617.69 and 229.55

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Solution

The fourth proportional to 412.26, 617.69 and 229.55 is: 343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.26 : 617.69 = 229.55 : x
  2. Step 2: Convert to fraction form
    412.26/617.69 = 229.55/x
  3. Step 3: Cross multiply
    412.26x = 617.69 × 229.55
  4. Step 4: Simplify right side
    412.26x = 141,788.22
  5. Step 5: Solve for x
    x = 141,788.22/412.26
  6. Step 6: Final answer
    x = 343.93

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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.