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Finding the Fourth Proportional to 563.96, 845.67 and 255.96

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Solution

The fourth proportional to 563.96, 845.67 and 255.96 is: 383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.96 : 845.67 = 255.96 : x
  2. Step 2: Convert to fraction form
    563.96/845.67 = 255.96/x
  3. Step 3: Cross multiply
    563.96x = 845.67 × 255.96
  4. Step 4: Simplify right side
    563.96x = 216,458.65
  5. Step 5: Solve for x
    x = 216,458.65/563.96
  6. Step 6: Final answer
    x = 383.82

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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.