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Finding the Fourth Proportional to 519.96, 774.26 and 493.23

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Solution

The fourth proportional to 519.96, 774.26 and 493.23 is: 734.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.96 : 774.26 = 493.23 : x
  2. Step 2: Convert to fraction form
    519.96/774.26 = 493.23/x
  3. Step 3: Cross multiply
    519.96x = 774.26 × 493.23
  4. Step 4: Simplify right side
    519.96x = 381,889.49
  5. Step 5: Solve for x
    x = 381,889.49/519.96
  6. Step 6: Final answer
    x = 734.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.