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Finding the Fourth Proportional to 563.27, 844.90 and 173.26

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Solution

The fourth proportional to 563.27, 844.90 and 173.26 is: 259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.27 : 844.90 = 173.26 : x
  2. Step 2: Convert to fraction form
    563.27/844.90 = 173.26/x
  3. Step 3: Cross multiply
    563.27x = 844.90 × 173.26
  4. Step 4: Simplify right side
    563.27x = 146,391.86
  5. Step 5: Solve for x
    x = 146,391.86/563.27
  6. Step 6: Final answer
    x = 259.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.