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Finding the Fourth Proportional to 419.81, 628.86 and 200.64

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Solution

The fourth proportional to 419.81, 628.86 and 200.64 is: 300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.81 : 628.86 = 200.64 : x
  2. Step 2: Convert to fraction form
    419.81/628.86 = 200.64/x
  3. Step 3: Cross multiply
    419.81x = 628.86 × 200.64
  4. Step 4: Simplify right side
    419.81x = 126,174.47
  5. Step 5: Solve for x
    x = 126,174.47/419.81
  6. Step 6: Final answer
    x = 300.55

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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.