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Finding the Fourth Proportional to 563.44, 844.32 and 409.66

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Solution

The fourth proportional to 563.44, 844.32 and 409.66 is: 613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.44 : 844.32 = 409.66 : x
  2. Step 2: Convert to fraction form
    563.44/844.32 = 409.66/x
  3. Step 3: Cross multiply
    563.44x = 844.32 × 409.66
  4. Step 4: Simplify right side
    563.44x = 345,884.13
  5. Step 5: Solve for x
    x = 345,884.13/563.44
  6. Step 6: Final answer
    x = 613.88

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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.