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Finding the Fourth Proportional to 514.81, 771.94 and 406.27

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Solution

The fourth proportional to 514.81, 771.94 and 406.27 is: 609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.81 : 771.94 = 406.27 : x
  2. Step 2: Convert to fraction form
    514.81/771.94 = 406.27/x
  3. Step 3: Cross multiply
    514.81x = 771.94 × 406.27
  4. Step 4: Simplify right side
    514.81x = 313,616.06
  5. Step 5: Solve for x
    x = 313,616.06/514.81
  6. Step 6: Final answer
    x = 609.19

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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.