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Finding the Fourth Proportional to 514.53, 771.42 and 189.84

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Solution

The fourth proportional to 514.53, 771.42 and 189.84 is: 284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.53 : 771.42 = 189.84 : x
  2. Step 2: Convert to fraction form
    514.53/771.42 = 189.84/x
  3. Step 3: Cross multiply
    514.53x = 771.42 × 189.84
  4. Step 4: Simplify right side
    514.53x = 146,446.37
  5. Step 5: Solve for x
    x = 146,446.37/514.53
  6. Step 6: Final answer
    x = 284.62

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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.