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Finding the Fourth Proportional to 319.41, 478.17 and 197.30

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Solution

The fourth proportional to 319.41, 478.17 and 197.30 is: 295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.41 : 478.17 = 197.30 : x
  2. Step 2: Convert to fraction form
    319.41/478.17 = 197.30/x
  3. Step 3: Cross multiply
    319.41x = 478.17 × 197.30
  4. Step 4: Simplify right side
    319.41x = 94,344.14
  5. Step 5: Solve for x
    x = 94,344.14/319.41
  6. Step 6: Final answer
    x = 295.37

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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.