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Finding the Fourth Proportional to 383.97, 529.74 and 234.51

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Solution

The fourth proportional to 383.97, 529.74 and 234.51 is: 323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.97 : 529.74 = 234.51 : x
  2. Step 2: Convert to fraction form
    383.97/529.74 = 234.51/x
  3. Step 3: Cross multiply
    383.97x = 529.74 × 234.51
  4. Step 4: Simplify right side
    383.97x = 124,229.33
  5. Step 5: Solve for x
    x = 124,229.33/383.97
  6. Step 6: Final answer
    x = 323.54

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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.