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Finding the Fourth Proportional to 604.12, 834 and 408.66

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Solution

The fourth proportional to 604.12, 834 and 408.66 is: 564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.12 : 834 = 408.66 : x
  2. Step 2: Convert to fraction form
    604.12/834 = 408.66/x
  3. Step 3: Cross multiply
    604.12x = 834 × 408.66
  4. Step 4: Simplify right side
    604.12x = 340,822.44
  5. Step 5: Solve for x
    x = 340,822.44/604.12
  6. Step 6: Final answer
    x = 564.16

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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.