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Finding the Fourth Proportional to 575.89, 863.82 and 205.69

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Solution

The fourth proportional to 575.89, 863.82 and 205.69 is: 308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.89 : 863.82 = 205.69 : x
  2. Step 2: Convert to fraction form
    575.89/863.82 = 205.69/x
  3. Step 3: Cross multiply
    575.89x = 863.82 × 205.69
  4. Step 4: Simplify right side
    575.89x = 177,679.14
  5. Step 5: Solve for x
    x = 177,679.14/575.89
  6. Step 6: Final answer
    x = 308.53

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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.