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Finding the Fourth Proportional to 382.48, 573.63 and 122.47

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Solution

The fourth proportional to 382.48, 573.63 and 122.47 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.48 : 573.63 = 122.47 : x
  2. Step 2: Convert to fraction form
    382.48/573.63 = 122.47/x
  3. Step 3: Cross multiply
    382.48x = 573.63 × 122.47
  4. Step 4: Simplify right side
    382.48x = 70,252.47
  5. Step 5: Solve for x
    x = 70,252.47/382.48
  6. Step 6: Final answer
    x = 183.68

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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.