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Finding the Fourth Proportional to 412.19, 617.09 and 320.96

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Solution

The fourth proportional to 412.19, 617.09 and 320.96 is: 480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.19 : 617.09 = 320.96 : x
  2. Step 2: Convert to fraction form
    412.19/617.09 = 320.96/x
  3. Step 3: Cross multiply
    412.19x = 617.09 × 320.96
  4. Step 4: Simplify right side
    412.19x = 198,063.85
  5. Step 5: Solve for x
    x = 198,063.85/412.19
  6. Step 6: Final answer
    x = 480.52

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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.