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Finding the Fourth Proportional to 823.75, 1,235.31 and 238.56

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Solution

The fourth proportional to 823.75, 1,235.31 and 238.56 is: 357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.75 : 1,235.31 = 238.56 : x
  2. Step 2: Convert to fraction form
    823.75/1,235.31 = 238.56/x
  3. Step 3: Cross multiply
    823.75x = 1,235.31 × 238.56
  4. Step 4: Simplify right side
    823.75x = 294,690.92
  5. Step 5: Solve for x
    x = 294,690.92/823.75
  6. Step 6: Final answer
    x = 357.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.