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Finding the Fourth Proportional to 514.46, 771.51 and 206.23

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Solution

The fourth proportional to 514.46, 771.51 and 206.23 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.46 : 771.51 = 206.23 : x
  2. Step 2: Convert to fraction form
    514.46/771.51 = 206.23/x
  3. Step 3: Cross multiply
    514.46x = 771.51 × 206.23
  4. Step 4: Simplify right side
    514.46x = 159,108.51
  5. Step 5: Solve for x
    x = 159,108.51/514.46
  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.