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Finding the Fourth Proportional to 853.52, 1,280.33 and 415.18

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Solution

The fourth proportional to 853.52, 1,280.33 and 415.18 is: 622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.52 : 1,280.33 = 415.18 : x
  2. Step 2: Convert to fraction form
    853.52/1,280.33 = 415.18/x
  3. Step 3: Cross multiply
    853.52x = 1,280.33 × 415.18
  4. Step 4: Simplify right side
    853.52x = 531,558.93
  5. Step 5: Solve for x
    x = 531,558.93/853.52
  6. Step 6: Final answer
    x = 622.78

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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.