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Finding the Fourth Proportional to 418.82, 578.24 and 271.87

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Solution

The fourth proportional to 418.82, 578.24 and 271.87 is: 375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.82 : 578.24 = 271.87 : x
  2. Step 2: Convert to fraction form
    418.82/578.24 = 271.87/x
  3. Step 3: Cross multiply
    418.82x = 578.24 × 271.87
  4. Step 4: Simplify right side
    418.82x = 157,207.58
  5. Step 5: Solve for x
    x = 157,207.58/418.82
  6. Step 6: Final answer
    x = 375.36

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