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Finding the Fourth Proportional to 576, 863.73 and 185.94

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Solution

The fourth proportional to 576, 863.73 and 185.94 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 863.73 = 185.94 : x
  2. Step 2: Convert to fraction form
    576/863.73 = 185.94/x
  3. Step 3: Cross multiply
    576x = 863.73 × 185.94
  4. Step 4: Simplify right side
    576x = 160,601.96
  5. Step 5: Solve for x
    x = 160,601.96/576
  6. Step 6: Final answer
    x = 278.82

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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.