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Finding the Fourth Proportional to 293.77, 405.23 and 238.56

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Solution

The fourth proportional to 293.77, 405.23 and 238.56 is: 329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.77 : 405.23 = 238.56 : x
  2. Step 2: Convert to fraction form
    293.77/405.23 = 238.56/x
  3. Step 3: Cross multiply
    293.77x = 405.23 × 238.56
  4. Step 4: Simplify right side
    293.77x = 96,671.67
  5. Step 5: Solve for x
    x = 96,671.67/293.77
  6. Step 6: Final answer
    x = 329.07

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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.