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Finding the Fourth Proportional to 884.44, 1,325.82 and 397

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Solution

The fourth proportional to 884.44, 1,325.82 and 397 is: 595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.44 : 1,325.82 = 397 : x
  2. Step 2: Convert to fraction form
    884.44/1,325.82 = 397/x
  3. Step 3: Cross multiply
    884.44x = 1,325.82 × 397
  4. Step 4: Simplify right side
    884.44x = 526,350.54
  5. Step 5: Solve for x
    x = 526,350.54/884.44
  6. Step 6: Final answer
    x = 595.12

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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.