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Finding the Fourth Proportional to 419.10, 628.67 and 199.61

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Solution

The fourth proportional to 419.10, 628.67 and 199.61 is: 299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 628.67 = 199.61 : x
  2. Step 2: Convert to fraction form
    419.10/628.67 = 199.61/x
  3. Step 3: Cross multiply
    419.10x = 628.67 × 199.61
  4. Step 4: Simplify right side
    419.10x = 125,491.51
  5. Step 5: Solve for x
    x = 125,491.51/419.10
  6. Step 6: Final answer
    x = 299.43

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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.