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Finding the Fourth Proportional to 396.78, 594.26 and 275.13

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Solution

The fourth proportional to 396.78, 594.26 and 275.13 is: 412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.78 : 594.26 = 275.13 : x
  2. Step 2: Convert to fraction form
    396.78/594.26 = 275.13/x
  3. Step 3: Cross multiply
    396.78x = 594.26 × 275.13
  4. Step 4: Simplify right side
    396.78x = 163,498.41
  5. Step 5: Solve for x
    x = 163,498.41/396.78
  6. Step 6: Final answer
    x = 412.06

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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.