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Finding the Fourth Proportional to 671.14, 926.22 and 409.12

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Solution

The fourth proportional to 671.14, 926.22 and 409.12 is: 564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.14 : 926.22 = 409.12 : x
  2. Step 2: Convert to fraction form
    671.14/926.22 = 409.12/x
  3. Step 3: Cross multiply
    671.14x = 926.22 × 409.12
  4. Step 4: Simplify right side
    671.14x = 378,935.13
  5. Step 5: Solve for x
    x = 378,935.13/671.14
  6. Step 6: Final answer
    x = 564.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.