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Finding the Fourth Proportional to 412.05, 616.71 and 343.71

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Solution

The fourth proportional to 412.05, 616.71 and 343.71 is: 514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.05 : 616.71 = 343.71 : x
  2. Step 2: Convert to fraction form
    412.05/616.71 = 343.71/x
  3. Step 3: Cross multiply
    412.05x = 616.71 × 343.71
  4. Step 4: Simplify right side
    412.05x = 211,969.39
  5. Step 5: Solve for x
    x = 211,969.39/412.05
  6. Step 6: Final answer
    x = 514.43

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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.