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Finding the Fourth Proportional to 415.52, 573.44 and 238.48

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Solution

The fourth proportional to 415.52, 573.44 and 238.48 is: 329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.52 : 573.44 = 238.48 : x
  2. Step 2: Convert to fraction form
    415.52/573.44 = 238.48/x
  3. Step 3: Cross multiply
    415.52x = 573.44 × 238.48
  4. Step 4: Simplify right side
    415.52x = 136,753.97
  5. Step 5: Solve for x
    x = 136,753.97/415.52
  6. Step 6: Final answer
    x = 329.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.