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Finding the Fourth Proportional to 514.10, 771.17 and 189.47

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Solution

The fourth proportional to 514.10, 771.17 and 189.47 is: 284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.10 : 771.17 = 189.47 : x
  2. Step 2: Convert to fraction form
    514.10/771.17 = 189.47/x
  3. Step 3: Cross multiply
    514.10x = 771.17 × 189.47
  4. Step 4: Simplify right side
    514.10x = 146,108.78
  5. Step 5: Solve for x
    x = 146,108.78/514.10
  6. Step 6: Final answer
    x = 284.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.