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Finding the Fourth Proportional to 419.81, 629.46 and 214.22

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Solution

The fourth proportional to 419.81, 629.46 and 214.22 is: 321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.81 : 629.46 = 214.22 : x
  2. Step 2: Convert to fraction form
    419.81/629.46 = 214.22/x
  3. Step 3: Cross multiply
    419.81x = 629.46 × 214.22
  4. Step 4: Simplify right side
    419.81x = 134,839.77
  5. Step 5: Solve for x
    x = 134,839.77/419.81
  6. Step 6: Final answer
    x = 321.20

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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.