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Finding the Fourth Proportional to 419.69, 629.49 and 283.61

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Solution

The fourth proportional to 419.69, 629.49 and 283.61 is: 425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 629.49 = 283.61 : x
  2. Step 2: Convert to fraction form
    419.69/629.49 = 283.61/x
  3. Step 3: Cross multiply
    419.69x = 629.49 × 283.61
  4. Step 4: Simplify right side
    419.69x = 178,531.23
  5. Step 5: Solve for x
    x = 178,531.23/419.69
  6. Step 6: Final answer
    x = 425.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.