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Finding the Fourth Proportional to 563.55, 845.04 and 255.18

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Solution

The fourth proportional to 563.55, 845.04 and 255.18 is: 382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.55 : 845.04 = 255.18 : x
  2. Step 2: Convert to fraction form
    563.55/845.04 = 255.18/x
  3. Step 3: Cross multiply
    563.55x = 845.04 × 255.18
  4. Step 4: Simplify right side
    563.55x = 215,641.43
  5. Step 5: Solve for x
    x = 215,641.43/563.55
  6. Step 6: Final answer
    x = 382.65

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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.