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Finding the Fourth Proportional to 419.81, 629.73 and 173.12

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Solution

The fourth proportional to 419.81, 629.73 and 173.12 is: 259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.81 : 629.73 = 173.12 : x
  2. Step 2: Convert to fraction form
    419.81/629.73 = 173.12/x
  3. Step 3: Cross multiply
    419.81x = 629.73 × 173.12
  4. Step 4: Simplify right side
    419.81x = 109,015.71
  5. Step 5: Solve for x
    x = 109,015.71/419.81
  6. Step 6: Final answer
    x = 259.68

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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.