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Finding the Fourth Proportional to 412.86, 620.10 and 250.86

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Solution

The fourth proportional to 412.86, 620.10 and 250.86 is: 376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.86 : 620.10 = 250.86 : x
  2. Step 2: Convert to fraction form
    412.86/620.10 = 250.86/x
  3. Step 3: Cross multiply
    412.86x = 620.10 × 250.86
  4. Step 4: Simplify right side
    412.86x = 155,558.29
  5. Step 5: Solve for x
    x = 155,558.29/412.86
  6. Step 6: Final answer
    x = 376.78

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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.