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Finding the Fourth Proportional to 514.34, 771.64 and 270.80

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Solution

The fourth proportional to 514.34, 771.64 and 270.80 is: 406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.34 : 771.64 = 270.80 : x
  2. Step 2: Convert to fraction form
    514.34/771.64 = 270.80/x
  3. Step 3: Cross multiply
    514.34x = 771.64 × 270.80
  4. Step 4: Simplify right side
    514.34x = 208,960.11
  5. Step 5: Solve for x
    x = 208,960.11/514.34
  6. Step 6: Final answer
    x = 406.27

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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.