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Finding the Fourth Proportional to 419.94, 629.83 and 156.34

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Solution

The fourth proportional to 419.94, 629.83 and 156.34 is: 234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 629.83 = 156.34 : x
  2. Step 2: Convert to fraction form
    419.94/629.83 = 156.34/x
  3. Step 3: Cross multiply
    419.94x = 629.83 × 156.34
  4. Step 4: Simplify right side
    419.94x = 98,467.62
  5. Step 5: Solve for x
    x = 98,467.62/419.94
  6. Step 6: Final answer
    x = 234.48

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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.