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Finding the Fourth Proportional to 514.49, 771.27 and 189.63

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Solution

The fourth proportional to 514.49, 771.27 and 189.63 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.49 : 771.27 = 189.63 : x
  2. Step 2: Convert to fraction form
    514.49/771.27 = 189.63/x
  3. Step 3: Cross multiply
    514.49x = 771.27 × 189.63
  4. Step 4: Simplify right side
    514.49x = 146,258.45
  5. Step 5: Solve for x
    x = 146,258.45/514.49
  6. Step 6: Final answer
    x = 284.28

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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.