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Finding the Fourth Proportional to 823.51, 1,235.44 and 238.51

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Solution

The fourth proportional to 823.51, 1,235.44 and 238.51 is: 357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.51 : 1,235.44 = 238.51 : x
  2. Step 2: Convert to fraction form
    823.51/1,235.44 = 238.51/x
  3. Step 3: Cross multiply
    823.51x = 1,235.44 × 238.51
  4. Step 4: Simplify right side
    823.51x = 294,664.79
  5. Step 5: Solve for x
    x = 294,664.79/823.51
  6. Step 6: Final answer
    x = 357.82

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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.