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Finding the Fourth Proportional to 563.82, 845.72 and 179.08

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Solution

The fourth proportional to 563.82, 845.72 and 179.08 is: 268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 845.72 = 179.08 : x
  2. Step 2: Convert to fraction form
    563.82/845.72 = 179.08/x
  3. Step 3: Cross multiply
    563.82x = 845.72 × 179.08
  4. Step 4: Simplify right side
    563.82x = 151,451.54
  5. Step 5: Solve for x
    x = 151,451.54/563.82
  6. Step 6: Final answer
    x = 268.62

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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.