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Finding the Fourth Proportional to 514.90, 772.70 and 206.75

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Solution

The fourth proportional to 514.90, 772.70 and 206.75 is: 310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.90 : 772.70 = 206.75 : x
  2. Step 2: Convert to fraction form
    514.90/772.70 = 206.75/x
  3. Step 3: Cross multiply
    514.90x = 772.70 × 206.75
  4. Step 4: Simplify right side
    514.90x = 159,755.73
  5. Step 5: Solve for x
    x = 159,755.73/514.90
  6. Step 6: Final answer
    x = 310.27

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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.