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Finding the Fourth Proportional to 381, 525.69 and 233.53

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Solution

The fourth proportional to 381, 525.69 and 233.53 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381 : 525.69 = 233.53 : x
  2. Step 2: Convert to fraction form
    381/525.69 = 233.53/x
  3. Step 3: Cross multiply
    381x = 525.69 × 233.53
  4. Step 4: Simplify right side
    381x = 122,764.39
  5. Step 5: Solve for x
    x = 122,764.39/381
  6. Step 6: Final answer
    x = 322.22

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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.