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Finding the Fourth Proportional to 855.25, 1,283.81 and 423.33

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Solution

The fourth proportional to 855.25, 1,283.81 and 423.33 is: 635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.25 : 1,283.81 = 423.33 : x
  2. Step 2: Convert to fraction form
    855.25/1,283.81 = 423.33/x
  3. Step 3: Cross multiply
    855.25x = 1,283.81 × 423.33
  4. Step 4: Simplify right side
    855.25x = 543,475.29
  5. Step 5: Solve for x
    x = 543,475.29/855.25
  6. Step 6: Final answer
    x = 635.46

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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.