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Finding the Fourth Proportional to 517.73, 774.43 and 409.73

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Solution

The fourth proportional to 517.73, 774.43 and 409.73 is: 612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.73 : 774.43 = 409.73 : x
  2. Step 2: Convert to fraction form
    517.73/774.43 = 409.73/x
  3. Step 3: Cross multiply
    517.73x = 774.43 × 409.73
  4. Step 4: Simplify right side
    517.73x = 317,307.20
  5. Step 5: Solve for x
    x = 317,307.20/517.73
  6. Step 6: Final answer
    x = 612.88

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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.