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Finding the Fourth Proportional to 563.44, 844.78 and 234.29

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Solution

The fourth proportional to 563.44, 844.78 and 234.29 is: 351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.44 : 844.78 = 234.29 : x
  2. Step 2: Convert to fraction form
    563.44/844.78 = 234.29/x
  3. Step 3: Cross multiply
    563.44x = 844.78 × 234.29
  4. Step 4: Simplify right side
    563.44x = 197,923.51
  5. Step 5: Solve for x
    x = 197,923.51/563.44
  6. Step 6: Final answer
    x = 351.28

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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.