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Finding the Fourth Proportional to 563.34, 844.84 and 216.43

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Solution

The fourth proportional to 563.34, 844.84 and 216.43 is: 324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.34 : 844.84 = 216.43 : x
  2. Step 2: Convert to fraction form
    563.34/844.84 = 216.43/x
  3. Step 3: Cross multiply
    563.34x = 844.84 × 216.43
  4. Step 4: Simplify right side
    563.34x = 182,848.72
  5. Step 5: Solve for x
    x = 182,848.72/563.34
  6. Step 6: Final answer
    x = 324.58

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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.