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Finding the Fourth Proportional to 419.58, 578.94 and 272.22

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Solution

The fourth proportional to 419.58, 578.94 and 272.22 is: 375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.58 : 578.94 = 272.22 : x
  2. Step 2: Convert to fraction form
    419.58/578.94 = 272.22/x
  3. Step 3: Cross multiply
    419.58x = 578.94 × 272.22
  4. Step 4: Simplify right side
    419.58x = 157,599.05
  5. Step 5: Solve for x
    x = 157,599.05/419.58
  6. Step 6: Final answer
    x = 375.61

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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.