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Finding the Fourth Proportional to 514.54, 771.36 and 189.84

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Solution

The fourth proportional to 514.54, 771.36 and 189.84 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.54 : 771.36 = 189.84 : x
  2. Step 2: Convert to fraction form
    514.54/771.36 = 189.84/x
  3. Step 3: Cross multiply
    514.54x = 771.36 × 189.84
  4. Step 4: Simplify right side
    514.54x = 146,434.98
  5. Step 5: Solve for x
    x = 146,434.98/514.54
  6. Step 6: Final answer
    x = 284.59

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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.