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Finding the Fourth Proportional to 513.94, 770.97 and 398.23

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Solution

The fourth proportional to 513.94, 770.97 and 398.23 is: 597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.94 : 770.97 = 398.23 : x
  2. Step 2: Convert to fraction form
    513.94/770.97 = 398.23/x
  3. Step 3: Cross multiply
    513.94x = 770.97 × 398.23
  4. Step 4: Simplify right side
    513.94x = 307,023.38
  5. Step 5: Solve for x
    x = 307,023.38/513.94
  6. Step 6: Final answer
    x = 597.39

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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.