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Finding the Fourth Proportional to 514.33, 771.49 and 206.05

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Solution

The fourth proportional to 514.33, 771.49 and 206.05 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.33 : 771.49 = 206.05 : x
  2. Step 2: Convert to fraction form
    514.33/771.49 = 206.05/x
  3. Step 3: Cross multiply
    514.33x = 771.49 × 206.05
  4. Step 4: Simplify right side
    514.33x = 158,965.51
  5. Step 5: Solve for x
    x = 158,965.51/514.33
  6. Step 6: Final answer
    x = 309.07

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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.