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Finding the Fourth Proportional to 419.48, 629.31 and 127.00

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Solution

The fourth proportional to 419.48, 629.31 and 127.00 is: 190.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 629.31 = 127.00 : x
  2. Step 2: Convert to fraction form
    419.48/629.31 = 127.00/x
  3. Step 3: Cross multiply
    419.48x = 629.31 × 127.00
  4. Step 4: Simplify right side
    419.48x = 79,919.53
  5. Step 5: Solve for x
    x = 79,919.53/419.48
  6. Step 6: Final answer
    x = 190.52

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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.