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Finding the Fourth Proportional to 412.57, 619.12 and 321.44

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Solution

The fourth proportional to 412.57, 619.12 and 321.44 is: 482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.57 : 619.12 = 321.44 : x
  2. Step 2: Convert to fraction form
    412.57/619.12 = 321.44/x
  3. Step 3: Cross multiply
    412.57x = 619.12 × 321.44
  4. Step 4: Simplify right side
    412.57x = 199,011.56
  5. Step 5: Solve for x
    x = 199,011.56/412.57
  6. Step 6: Final answer
    x = 482.37

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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.