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Finding the Fourth Proportional to 853.08, 1,280.49 and 414.64

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Solution

The fourth proportional to 853.08, 1,280.49 and 414.64 is: 622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.08 : 1,280.49 = 414.64 : x
  2. Step 2: Convert to fraction form
    853.08/1,280.49 = 414.64/x
  3. Step 3: Cross multiply
    853.08x = 1,280.49 × 414.64
  4. Step 4: Simplify right side
    853.08x = 530,942.37
  5. Step 5: Solve for x
    x = 530,942.37/853.08
  6. Step 6: Final answer
    x = 622.38

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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.