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Finding the Fourth Proportional to 514.78, 771.98 and 206.55

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Solution

The fourth proportional to 514.78, 771.98 and 206.55 is: 309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.78 : 771.98 = 206.55 : x
  2. Step 2: Convert to fraction form
    514.78/771.98 = 206.55/x
  3. Step 3: Cross multiply
    514.78x = 771.98 × 206.55
  4. Step 4: Simplify right side
    514.78x = 159,452.60
  5. Step 5: Solve for x
    x = 159,452.60/514.78
  6. Step 6: Final answer
    x = 309.75

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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.