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Finding the Fourth Proportional to 412.12, 617.28 and 195.04

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Solution

The fourth proportional to 412.12, 617.28 and 195.04 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.12 : 617.28 = 195.04 : x
  2. Step 2: Convert to fraction form
    412.12/617.28 = 195.04/x
  3. Step 3: Cross multiply
    412.12x = 617.28 × 195.04
  4. Step 4: Simplify right side
    412.12x = 120,394.29
  5. Step 5: Solve for x
    x = 120,394.29/412.12
  6. Step 6: Final answer
    x = 292.13

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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.