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Finding the Fourth Proportional to 514.14, 770.94 and 205.98

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Solution

The fourth proportional to 514.14, 770.94 and 205.98 is: 308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 770.94 = 205.98 : x
  2. Step 2: Convert to fraction form
    514.14/770.94 = 205.98/x
  3. Step 3: Cross multiply
    514.14x = 770.94 × 205.98
  4. Step 4: Simplify right side
    514.14x = 158,798.22
  5. Step 5: Solve for x
    x = 158,798.22/514.14
  6. Step 6: Final answer
    x = 308.86

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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.