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Finding the Fourth Proportional to 563.30, 845.16 and 255.22

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Solution

The fourth proportional to 563.30, 845.16 and 255.22 is: 382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.30 : 845.16 = 255.22 : x
  2. Step 2: Convert to fraction form
    563.30/845.16 = 255.22/x
  3. Step 3: Cross multiply
    563.30x = 845.16 × 255.22
  4. Step 4: Simplify right side
    563.30x = 215,701.74
  5. Step 5: Solve for x
    x = 215,701.74/563.30
  6. Step 6: Final answer
    x = 382.93

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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.