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Finding the Fourth Proportional to 671.36, 926.32 and 409.36

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Solution

The fourth proportional to 671.36, 926.32 and 409.36 is: 564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.36 : 926.32 = 409.36 : x
  2. Step 2: Convert to fraction form
    671.36/926.32 = 409.36/x
  3. Step 3: Cross multiply
    671.36x = 926.32 × 409.36
  4. Step 4: Simplify right side
    671.36x = 379,198.36
  5. Step 5: Solve for x
    x = 379,198.36/671.36
  6. Step 6: Final answer
    x = 564.82

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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.