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Finding the Fourth Proportional to 419.60, 629.88 and 214.40

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Solution

The fourth proportional to 419.60, 629.88 and 214.40 is: 321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.60 : 629.88 = 214.40 : x
  2. Step 2: Convert to fraction form
    419.60/629.88 = 214.40/x
  3. Step 3: Cross multiply
    419.60x = 629.88 × 214.40
  4. Step 4: Simplify right side
    419.60x = 135,046.27
  5. Step 5: Solve for x
    x = 135,046.27/419.60
  6. Step 6: Final answer
    x = 321.85

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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.