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Finding the Fourth Proportional to 412.06, 617.24 and 343.36

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Solution

The fourth proportional to 412.06, 617.24 and 343.36 is: 514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.06 : 617.24 = 343.36 : x
  2. Step 2: Convert to fraction form
    412.06/617.24 = 343.36/x
  3. Step 3: Cross multiply
    412.06x = 617.24 × 343.36
  4. Step 4: Simplify right side
    412.06x = 211,935.53
  5. Step 5: Solve for x
    x = 211,935.53/412.06
  6. Step 6: Final answer
    x = 514.33

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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.