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Finding the Fourth Proportional to 514.84, 771.90 and 268

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Solution

The fourth proportional to 514.84, 771.90 and 268 is: 401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.84 : 771.90 = 268 : x
  2. Step 2: Convert to fraction form
    514.84/771.90 = 268/x
  3. Step 3: Cross multiply
    514.84x = 771.90 × 268
  4. Step 4: Simplify right side
    514.84x = 206,869.20
  5. Step 5: Solve for x
    x = 206,869.20/514.84
  6. Step 6: Final answer
    x = 401.81

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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.