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Finding the Fourth Proportional to 855.80, 1,283.67 and 270.80

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Solution

The fourth proportional to 855.80, 1,283.67 and 270.80 is: 406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.80 : 1,283.67 = 270.80 : x
  2. Step 2: Convert to fraction form
    855.80/1,283.67 = 270.80/x
  3. Step 3: Cross multiply
    855.80x = 1,283.67 × 270.80
  4. Step 4: Simplify right side
    855.80x = 347,617.84
  5. Step 5: Solve for x
    x = 347,617.84/855.80
  6. Step 6: Final answer
    x = 406.19

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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.