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Finding the Fourth Proportional to 419.35, 629.73 and 273.34

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Solution

The fourth proportional to 419.35, 629.73 and 273.34 is: 410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.35 : 629.73 = 273.34 : x
  2. Step 2: Convert to fraction form
    419.35/629.73 = 273.34/x
  3. Step 3: Cross multiply
    419.35x = 629.73 × 273.34
  4. Step 4: Simplify right side
    419.35x = 172,130.61
  5. Step 5: Solve for x
    x = 172,130.61/419.35
  6. Step 6: Final answer
    x = 410.47

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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.