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Finding the Fourth Proportional to 419.69, 578.67 and 272.27

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Solution

The fourth proportional to 419.69, 578.67 and 272.27 is: 375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 578.67 = 272.27 : x
  2. Step 2: Convert to fraction form
    419.69/578.67 = 272.27/x
  3. Step 3: Cross multiply
    419.69x = 578.67 × 272.27
  4. Step 4: Simplify right side
    419.69x = 157,554.48
  5. Step 5: Solve for x
    x = 157,554.48/419.69
  6. Step 6: Final answer
    x = 375.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.