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Finding the Fourth Proportional to 419.64, 629.75 and 145.73

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Solution

The fourth proportional to 419.64, 629.75 and 145.73 is: 218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 629.75 = 145.73 : x
  2. Step 2: Convert to fraction form
    419.64/629.75 = 145.73/x
  3. Step 3: Cross multiply
    419.64x = 629.75 × 145.73
  4. Step 4: Simplify right side
    419.64x = 91,772.74
  5. Step 5: Solve for x
    x = 91,772.74/419.64
  6. Step 6: Final answer
    x = 218.69

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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.