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Finding the Fourth Proportional to 412.08, 617.88 and 229.44

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Solution

The fourth proportional to 412.08, 617.88 and 229.44 is: 344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.08 : 617.88 = 229.44 : x
  2. Step 2: Convert to fraction form
    412.08/617.88 = 229.44/x
  3. Step 3: Cross multiply
    412.08x = 617.88 × 229.44
  4. Step 4: Simplify right side
    412.08x = 141,766.39
  5. Step 5: Solve for x
    x = 141,766.39/412.08
  6. Step 6: Final answer
    x = 344.03

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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.