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Finding the Fourth Proportional to 412.34, 617.78 and 331

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Solution

The fourth proportional to 412.34, 617.78 and 331 is: 495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 617.78 = 331 : x
  2. Step 2: Convert to fraction form
    412.34/617.78 = 331/x
  3. Step 3: Cross multiply
    412.34x = 617.78 × 331
  4. Step 4: Simplify right side
    412.34x = 204,485.18
  5. Step 5: Solve for x
    x = 204,485.18/412.34
  6. Step 6: Final answer
    x = 495.91

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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.