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Finding the Fourth Proportional to 517.20, 774.63 and 401.29

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Solution

The fourth proportional to 517.20, 774.63 and 401.29 is: 601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.20 : 774.63 = 401.29 : x
  2. Step 2: Convert to fraction form
    517.20/774.63 = 401.29/x
  3. Step 3: Cross multiply
    517.20x = 774.63 × 401.29
  4. Step 4: Simplify right side
    517.20x = 310,851.27
  5. Step 5: Solve for x
    x = 310,851.27/517.20
  6. Step 6: Final answer
    x = 601.03

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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.