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Finding the Fourth Proportional to 853.48, 1,280.22 and 276.52

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Solution

The fourth proportional to 853.48, 1,280.22 and 276.52 is: 414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.48 : 1,280.22 = 276.52 : x
  2. Step 2: Convert to fraction form
    853.48/1,280.22 = 276.52/x
  3. Step 3: Cross multiply
    853.48x = 1,280.22 × 276.52
  4. Step 4: Simplify right side
    853.48x = 354,006.43
  5. Step 5: Solve for x
    x = 354,006.43/853.48
  6. Step 6: Final answer
    x = 414.78

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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.