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Finding the Fourth Proportional to 378.77, 523.14 and 248.36

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Solution

The fourth proportional to 378.77, 523.14 and 248.36 is: 343.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.77 : 523.14 = 248.36 : x
  2. Step 2: Convert to fraction form
    378.77/523.14 = 248.36/x
  3. Step 3: Cross multiply
    378.77x = 523.14 × 248.36
  4. Step 4: Simplify right side
    378.77x = 129,927.05
  5. Step 5: Solve for x
    x = 129,927.05/378.77
  6. Step 6: Final answer
    x = 343.02

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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.