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Finding the Fourth Proportional to 419.62, 629.45 and 214.13

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Solution

The fourth proportional to 419.62, 629.45 and 214.13 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.62 : 629.45 = 214.13 : x
  2. Step 2: Convert to fraction form
    419.62/629.45 = 214.13/x
  3. Step 3: Cross multiply
    419.62x = 629.45 × 214.13
  4. Step 4: Simplify right side
    419.62x = 134,784.13
  5. Step 5: Solve for x
    x = 134,784.13/419.62
  6. Step 6: Final answer
    x = 321.21

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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.