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Finding the Fourth Proportional to 385.89, 578.78 and 180.57

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Solution

The fourth proportional to 385.89, 578.78 and 180.57 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.89 : 578.78 = 180.57 : x
  2. Step 2: Convert to fraction form
    385.89/578.78 = 180.57/x
  3. Step 3: Cross multiply
    385.89x = 578.78 × 180.57
  4. Step 4: Simplify right side
    385.89x = 104,509.40
  5. Step 5: Solve for x
    x = 104,509.40/385.89
  6. Step 6: Final answer
    x = 270.83

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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.