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Finding the Fourth Proportional to 412.50, 617.85 and 343.38

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Solution

The fourth proportional to 412.50, 617.85 and 343.38 is: 514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.50 : 617.85 = 343.38 : x
  2. Step 2: Convert to fraction form
    412.50/617.85 = 343.38/x
  3. Step 3: Cross multiply
    412.50x = 617.85 × 343.38
  4. Step 4: Simplify right side
    412.50x = 212,157.33
  5. Step 5: Solve for x
    x = 212,157.33/412.50
  6. Step 6: Final answer
    x = 514.32

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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.