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Finding the Fourth Proportional to 853.89, 1,280.43 and 276.63

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Solution

The fourth proportional to 853.89, 1,280.43 and 276.63 is: 414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.89 : 1,280.43 = 276.63 : x
  2. Step 2: Convert to fraction form
    853.89/1,280.43 = 276.63/x
  3. Step 3: Cross multiply
    853.89x = 1,280.43 × 276.63
  4. Step 4: Simplify right side
    853.89x = 354,205.35
  5. Step 5: Solve for x
    x = 354,205.35/853.89
  6. Step 6: Final answer
    x = 414.81

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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.