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Finding the Fourth Proportional to 420.04, 629.65 and 200.61

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Solution

The fourth proportional to 420.04, 629.65 and 200.61 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.04 : 629.65 = 200.61 : x
  2. Step 2: Convert to fraction form
    420.04/629.65 = 200.61/x
  3. Step 3: Cross multiply
    420.04x = 629.65 × 200.61
  4. Step 4: Simplify right side
    420.04x = 126,311.98
  5. Step 5: Solve for x
    x = 126,311.98/420.04
  6. Step 6: Final answer
    x = 300.71

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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.