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Finding the Fourth Proportional to 385.57, 578.44 and 180.03

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Solution

The fourth proportional to 385.57, 578.44 and 180.03 is: 270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.57 : 578.44 = 180.03 : x
  2. Step 2: Convert to fraction form
    385.57/578.44 = 180.03/x
  3. Step 3: Cross multiply
    385.57x = 578.44 × 180.03
  4. Step 4: Simplify right side
    385.57x = 104,136.55
  5. Step 5: Solve for x
    x = 104,136.55/385.57
  6. Step 6: Final answer
    x = 270.08

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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.