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Finding the Fourth Proportional to 514.05, 771.66 and 270.51

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Solution

The fourth proportional to 514.05, 771.66 and 270.51 is: 406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.05 : 771.66 = 270.51 : x
  2. Step 2: Convert to fraction form
    514.05/771.66 = 270.51/x
  3. Step 3: Cross multiply
    514.05x = 771.66 × 270.51
  4. Step 4: Simplify right side
    514.05x = 208,741.75
  5. Step 5: Solve for x
    x = 208,741.75/514.05
  6. Step 6: Final answer
    x = 406.07

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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.