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Finding the Fourth Proportional to 513.98, 770.94 and 206.03

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Solution

The fourth proportional to 513.98, 770.94 and 206.03 is: 309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.98 : 770.94 = 206.03 : x
  2. Step 2: Convert to fraction form
    513.98/770.94 = 206.03/x
  3. Step 3: Cross multiply
    513.98x = 770.94 × 206.03
  4. Step 4: Simplify right side
    513.98x = 158,832.91
  5. Step 5: Solve for x
    x = 158,832.91/513.98
  6. Step 6: Final answer
    x = 309.03

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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.