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Finding the Fourth Proportional to 375.37, 563.24 and 238.48

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Solution

The fourth proportional to 375.37, 563.24 and 238.48 is: 357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.37 : 563.24 = 238.48 : x
  2. Step 2: Convert to fraction form
    375.37/563.24 = 238.48/x
  3. Step 3: Cross multiply
    375.37x = 563.24 × 238.48
  4. Step 4: Simplify right side
    375.37x = 134,321.48
  5. Step 5: Solve for x
    x = 134,321.48/375.37
  6. Step 6: Final answer
    x = 357.84

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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.