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Finding the Fourth Proportional to 514.20, 772.08 and 406.44

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Solution

The fourth proportional to 514.20, 772.08 and 406.44 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 772.08 = 406.44 : x
  2. Step 2: Convert to fraction form
    514.20/772.08 = 406.44/x
  3. Step 3: Cross multiply
    514.20x = 772.08 × 406.44
  4. Step 4: Simplify right side
    514.20x = 313,804.20
  5. Step 5: Solve for x
    x = 313,804.20/514.20
  6. Step 6: Final answer
    x = 610.28

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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.