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Finding the Fourth Proportional to 563.26, 844.85 and 173.29

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Solution

The fourth proportional to 563.26, 844.85 and 173.29 is: 259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.26 : 844.85 = 173.29 : x
  2. Step 2: Convert to fraction form
    563.26/844.85 = 173.29/x
  3. Step 3: Cross multiply
    563.26x = 844.85 × 173.29
  4. Step 4: Simplify right side
    563.26x = 146,404.06
  5. Step 5: Solve for x
    x = 146,404.06/563.26
  6. Step 6: Final answer
    x = 259.92

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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.