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Finding the Fourth Proportional to 855.75, 1,283.82 and 300.54

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Solution

The fourth proportional to 855.75, 1,283.82 and 300.54 is: 450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.75 : 1,283.82 = 300.54 : x
  2. Step 2: Convert to fraction form
    855.75/1,283.82 = 300.54/x
  3. Step 3: Cross multiply
    855.75x = 1,283.82 × 300.54
  4. Step 4: Simplify right side
    855.75x = 385,839.26
  5. Step 5: Solve for x
    x = 385,839.26/855.75
  6. Step 6: Final answer
    x = 450.88

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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.