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Finding the Fourth Proportional to 381.84, 526.94 and 234.44

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Solution

The fourth proportional to 381.84, 526.94 and 234.44 is: 323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 526.94 = 234.44 : x
  2. Step 2: Convert to fraction form
    381.84/526.94 = 234.44/x
  3. Step 3: Cross multiply
    381.84x = 526.94 × 234.44
  4. Step 4: Simplify right side
    381.84x = 123,535.81
  5. Step 5: Solve for x
    x = 123,535.81/381.84
  6. Step 6: Final answer
    x = 323.53

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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.