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Finding the Fourth Proportional to 385.94, 578.46 and 180.27

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Solution

The fourth proportional to 385.94, 578.46 and 180.27 is: 270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.94 : 578.46 = 180.27 : x
  2. Step 2: Convert to fraction form
    385.94/578.46 = 180.27/x
  3. Step 3: Cross multiply
    385.94x = 578.46 × 180.27
  4. Step 4: Simplify right side
    385.94x = 104,278.98
  5. Step 5: Solve for x
    x = 104,278.98/385.94
  6. Step 6: Final answer
    x = 270.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.