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Finding the Fourth Proportional to 412.94, 619.41 and 156.44

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Solution

The fourth proportional to 412.94, 619.41 and 156.44 is: 234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.94 : 619.41 = 156.44 : x
  2. Step 2: Convert to fraction form
    412.94/619.41 = 156.44/x
  3. Step 3: Cross multiply
    412.94x = 619.41 × 156.44
  4. Step 4: Simplify right side
    412.94x = 96,900.50
  5. Step 5: Solve for x
    x = 96,900.50/412.94
  6. Step 6: Final answer
    x = 234.66

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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.