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Finding the Fourth Proportional to 514.06, 771.10 and 443.60

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Solution

The fourth proportional to 514.06, 771.10 and 443.60 is: 665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.06 : 771.10 = 443.60 : x
  2. Step 2: Convert to fraction form
    514.06/771.10 = 443.60/x
  3. Step 3: Cross multiply
    514.06x = 771.10 × 443.60
  4. Step 4: Simplify right side
    514.06x = 342,059.96
  5. Step 5: Solve for x
    x = 342,059.96/514.06
  6. Step 6: Final answer
    x = 665.41

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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.