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Finding the Fourth Proportional to 563.96, 844.22 and 344

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Solution

The fourth proportional to 563.96, 844.22 and 344 is: 514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.96 : 844.22 = 344 : x
  2. Step 2: Convert to fraction form
    563.96/844.22 = 344/x
  3. Step 3: Cross multiply
    563.96x = 844.22 × 344
  4. Step 4: Simplify right side
    563.96x = 290,411.68
  5. Step 5: Solve for x
    x = 290,411.68/563.96
  6. Step 6: Final answer
    x = 514.95

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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.