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Finding the Fourth Proportional to 381.94, 573.82 and 245.25

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Solution

The fourth proportional to 381.94, 573.82 and 245.25 is: 368.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.94 : 573.82 = 245.25 : x
  2. Step 2: Convert to fraction form
    381.94/573.82 = 245.25/x
  3. Step 3: Cross multiply
    381.94x = 573.82 × 245.25
  4. Step 4: Simplify right side
    381.94x = 140,729.36
  5. Step 5: Solve for x
    x = 140,729.36/381.94
  6. Step 6: Final answer
    x = 368.46

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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.