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Finding the Fourth Proportional to 855.84, 1,283.93 and 270.99

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Solution

The fourth proportional to 855.84, 1,283.93 and 270.99 is: 406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.84 : 1,283.93 = 270.99 : x
  2. Step 2: Convert to fraction form
    855.84/1,283.93 = 270.99/x
  3. Step 3: Cross multiply
    855.84x = 1,283.93 × 270.99
  4. Step 4: Simplify right side
    855.84x = 347,932.19
  5. Step 5: Solve for x
    x = 347,932.19/855.84
  6. Step 6: Final answer
    x = 406.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.