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Finding the Fourth Proportional to 853.46, 1,280.17 and 276.33

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Solution

The fourth proportional to 853.46, 1,280.17 and 276.33 is: 414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.46 : 1,280.17 = 276.33 : x
  2. Step 2: Convert to fraction form
    853.46/1,280.17 = 276.33/x
  3. Step 3: Cross multiply
    853.46x = 1,280.17 × 276.33
  4. Step 4: Simplify right side
    853.46x = 353,749.38
  5. Step 5: Solve for x
    x = 353,749.38/853.46
  6. Step 6: Final answer
    x = 414.49

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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.