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Finding the Fourth Proportional to 412.22, 616.94 and 343.86

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Solution

The fourth proportional to 412.22, 616.94 and 343.86 is: 514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.22 : 616.94 = 343.86 : x
  2. Step 2: Convert to fraction form
    412.22/616.94 = 343.86/x
  3. Step 3: Cross multiply
    412.22x = 616.94 × 343.86
  4. Step 4: Simplify right side
    412.22x = 212,140.99
  5. Step 5: Solve for x
    x = 212,140.99/412.22
  6. Step 6: Final answer
    x = 514.63

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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.