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Finding the Fourth Proportional to 280.60, 387.71 and 270.75

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Solution

The fourth proportional to 280.60, 387.71 and 270.75 is: 374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.60 : 387.71 = 270.75 : x
  2. Step 2: Convert to fraction form
    280.60/387.71 = 270.75/x
  3. Step 3: Cross multiply
    280.60x = 387.71 × 270.75
  4. Step 4: Simplify right side
    280.60x = 104,969.87
  5. Step 5: Solve for x
    x = 104,969.87/280.60
  6. Step 6: Final answer
    x = 374.09

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Why These Related Problems?

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