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Finding the Fourth Proportional to 853.37, 1,280.23 and 276.65

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Solution

The fourth proportional to 853.37, 1,280.23 and 276.65 is: 415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.37 : 1,280.23 = 276.65 : x
  2. Step 2: Convert to fraction form
    853.37/1,280.23 = 276.65/x
  3. Step 3: Cross multiply
    853.37x = 1,280.23 × 276.65
  4. Step 4: Simplify right side
    853.37x = 354,168.54
  5. Step 5: Solve for x
    x = 354,168.54/853.37
  6. Step 6: Final answer
    x = 415.03

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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.