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Finding the Fourth Proportional to 396.09, 590.15 and 371.25

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Solution

The fourth proportional to 396.09, 590.15 and 371.25 is: 553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.09 : 590.15 = 371.25 : x
  2. Step 2: Convert to fraction form
    396.09/590.15 = 371.25/x
  3. Step 3: Cross multiply
    396.09x = 590.15 × 371.25
  4. Step 4: Simplify right side
    396.09x = 219,094.12
  5. Step 5: Solve for x
    x = 219,094.12/396.09
  6. Step 6: Final answer
    x = 553.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.