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Finding the Fourth Proportional to 419.06, 628.72 and 199.85

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Solution

The fourth proportional to 419.06, 628.72 and 199.85 is: 299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.06 : 628.72 = 199.85 : x
  2. Step 2: Convert to fraction form
    419.06/628.72 = 199.85/x
  3. Step 3: Cross multiply
    419.06x = 628.72 × 199.85
  4. Step 4: Simplify right side
    419.06x = 125,648.69
  5. Step 5: Solve for x
    x = 125,648.69/419.06
  6. Step 6: Final answer
    x = 299.83

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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.