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Finding the Fourth Proportional to 419.83, 629.36 and 214.65

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Solution

The fourth proportional to 419.83, 629.36 and 214.65 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.83 : 629.36 = 214.65 : x
  2. Step 2: Convert to fraction form
    419.83/629.36 = 214.65/x
  3. Step 3: Cross multiply
    419.83x = 629.36 × 214.65
  4. Step 4: Simplify right side
    419.83x = 135,088.98
  5. Step 5: Solve for x
    x = 135,088.98/419.83
  6. Step 6: Final answer
    x = 321.77

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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.