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Finding the Fourth Proportional to 385.95, 578.73 and 180.57

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Solution

The fourth proportional to 385.95, 578.73 and 180.57 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.95 : 578.73 = 180.57 : x
  2. Step 2: Convert to fraction form
    385.95/578.73 = 180.57/x
  3. Step 3: Cross multiply
    385.95x = 578.73 × 180.57
  4. Step 4: Simplify right side
    385.95x = 104,501.28
  5. Step 5: Solve for x
    x = 104,501.28/385.95
  6. Step 6: Final answer
    x = 270.76

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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.