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Finding the Fourth Proportional to 514.86, 771.81 and 206.66

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Solution

The fourth proportional to 514.86, 771.81 and 206.66 is: 309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.86 : 771.81 = 206.66 : x
  2. Step 2: Convert to fraction form
    514.86/771.81 = 206.66/x
  3. Step 3: Cross multiply
    514.86x = 771.81 × 206.66
  4. Step 4: Simplify right side
    514.86x = 159,498.40
  5. Step 5: Solve for x
    x = 159,498.40/514.86
  6. Step 6: Final answer
    x = 309.79

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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.