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Finding the Fourth Proportional to 280.43, 385.86 and 273.27

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Solution

The fourth proportional to 280.43, 385.86 and 273.27 is: 376.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.43 : 385.86 = 273.27 : x
  2. Step 2: Convert to fraction form
    280.43/385.86 = 273.27/x
  3. Step 3: Cross multiply
    280.43x = 385.86 × 273.27
  4. Step 4: Simplify right side
    280.43x = 105,443.96
  5. Step 5: Solve for x
    x = 105,443.96/280.43
  6. Step 6: Final answer
    x = 376.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.