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Finding the Fourth Proportional to 412.35, 617.33 and 324.15

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Solution

The fourth proportional to 412.35, 617.33 and 324.15 is: 485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.35 : 617.33 = 324.15 : x
  2. Step 2: Convert to fraction form
    412.35/617.33 = 324.15/x
  3. Step 3: Cross multiply
    412.35x = 617.33 × 324.15
  4. Step 4: Simplify right side
    412.35x = 200,105.90
  5. Step 5: Solve for x
    x = 200,105.90/412.35
  6. Step 6: Final answer
    x = 485.28

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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.