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Finding the Fourth Proportional to 419.43, 628.60 and 200.05

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Solution

The fourth proportional to 419.43, 628.60 and 200.05 is: 299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.43 : 628.60 = 200.05 : x
  2. Step 2: Convert to fraction form
    419.43/628.60 = 200.05/x
  3. Step 3: Cross multiply
    419.43x = 628.60 × 200.05
  4. Step 4: Simplify right side
    419.43x = 125,751.43
  5. Step 5: Solve for x
    x = 125,751.43/419.43
  6. Step 6: Final answer
    x = 299.82

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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.