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Finding the Fourth Proportional to 519.56, 778.46 and 466.12

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Solution

The fourth proportional to 519.56, 778.46 and 466.12 is: 698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.56 : 778.46 = 466.12 : x
  2. Step 2: Convert to fraction form
    519.56/778.46 = 466.12/x
  3. Step 3: Cross multiply
    519.56x = 778.46 × 466.12
  4. Step 4: Simplify right side
    519.56x = 362,855.78
  5. Step 5: Solve for x
    x = 362,855.78/519.56
  6. Step 6: Final answer
    x = 698.39

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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.