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Finding the Fourth Proportional to 517.98, 774.81 and 409.98

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Solution

The fourth proportional to 517.98, 774.81 and 409.98 is: 613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.98 : 774.81 = 409.98 : x
  2. Step 2: Convert to fraction form
    517.98/774.81 = 409.98/x
  3. Step 3: Cross multiply
    517.98x = 774.81 × 409.98
  4. Step 4: Simplify right side
    517.98x = 317,656.60
  5. Step 5: Solve for x
    x = 317,656.60/517.98
  6. Step 6: Final answer
    x = 613.26

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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.