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Finding the Fourth Proportional to 382.14, 571.38 and 273.60

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Solution

The fourth proportional to 382.14, 571.38 and 273.60 is: 409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 571.38 = 273.60 : x
  2. Step 2: Convert to fraction form
    382.14/571.38 = 273.60/x
  3. Step 3: Cross multiply
    382.14x = 571.38 × 273.60
  4. Step 4: Simplify right side
    382.14x = 156,329.57
  5. Step 5: Solve for x
    x = 156,329.57/382.14
  6. Step 6: Final answer
    x = 409.09

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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.