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Finding the Fourth Proportional to 412.07, 617.96 and 265.97

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Solution

The fourth proportional to 412.07, 617.96 and 265.97 is: 398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.07 : 617.96 = 265.97 : x
  2. Step 2: Convert to fraction form
    412.07/617.96 = 265.97/x
  3. Step 3: Cross multiply
    412.07x = 617.96 × 265.97
  4. Step 4: Simplify right side
    412.07x = 164,361.03
  5. Step 5: Solve for x
    x = 164,361.03/412.07
  6. Step 6: Final answer
    x = 398.87

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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.