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Finding the Fourth Proportional to 412.86, 619 and 196.32

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Solution

The fourth proportional to 412.86, 619 and 196.32 is: 294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.86 : 619 = 196.32 : x
  2. Step 2: Convert to fraction form
    412.86/619 = 196.32/x
  3. Step 3: Cross multiply
    412.86x = 619 × 196.32
  4. Step 4: Simplify right side
    412.86x = 121,522.08
  5. Step 5: Solve for x
    x = 121,522.08/412.86
  6. Step 6: Final answer
    x = 294.34

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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.