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Finding the Fourth Proportional to 412.12, 617.82 and 347.32

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Solution

The fourth proportional to 412.12, 617.82 and 347.32 is: 520.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.12 : 617.82 = 347.32 : x
  2. Step 2: Convert to fraction form
    412.12/617.82 = 347.32/x
  3. Step 3: Cross multiply
    412.12x = 617.82 × 347.32
  4. Step 4: Simplify right side
    412.12x = 214,581.24
  5. Step 5: Solve for x
    x = 214,581.24/412.12
  6. Step 6: Final answer
    x = 520.68

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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.