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Finding the Fourth Proportional to 514.40, 771.96 and 226.04

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Solution

The fourth proportional to 514.40, 771.96 and 226.04 is: 339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.40 : 771.96 = 226.04 : x
  2. Step 2: Convert to fraction form
    514.40/771.96 = 226.04/x
  3. Step 3: Cross multiply
    514.40x = 771.96 × 226.04
  4. Step 4: Simplify right side
    514.40x = 174,493.84
  5. Step 5: Solve for x
    x = 174,493.84/514.40
  6. Step 6: Final answer
    x = 339.22

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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.