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Finding the Fourth Proportional to 412.98, 619.66 and 196.50

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Solution

The fourth proportional to 412.98, 619.66 and 196.50 is: 294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.98 : 619.66 = 196.50 : x
  2. Step 2: Convert to fraction form
    412.98/619.66 = 196.50/x
  3. Step 3: Cross multiply
    412.98x = 619.66 × 196.50
  4. Step 4: Simplify right side
    412.98x = 121,763.19
  5. Step 5: Solve for x
    x = 121,763.19/412.98
  6. Step 6: Final answer
    x = 294.84

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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.