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Finding the Fourth Proportional to 514.25, 771.69 and 270.95

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Solution

The fourth proportional to 514.25, 771.69 and 270.95 is: 406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.25 : 771.69 = 270.95 : x
  2. Step 2: Convert to fraction form
    514.25/771.69 = 270.95/x
  3. Step 3: Cross multiply
    514.25x = 771.69 × 270.95
  4. Step 4: Simplify right side
    514.25x = 209,089.41
  5. Step 5: Solve for x
    x = 209,089.41/514.25
  6. Step 6: Final answer
    x = 406.59

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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.