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Finding the Fourth Proportional to 514.54, 771.33 and 206.31

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Solution

The fourth proportional to 514.54, 771.33 and 206.31 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.54 : 771.33 = 206.31 : x
  2. Step 2: Convert to fraction form
    514.54/771.33 = 206.31/x
  3. Step 3: Cross multiply
    514.54x = 771.33 × 206.31
  4. Step 4: Simplify right side
    514.54x = 159,133.09
  5. Step 5: Solve for x
    x = 159,133.09/514.54
  6. Step 6: Final answer
    x = 309.27

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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.