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Finding the Fourth Proportional to 381.14, 525.95 and 233.79

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Solution

The fourth proportional to 381.14, 525.95 and 233.79 is: 322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.14 : 525.95 = 233.79 : x
  2. Step 2: Convert to fraction form
    381.14/525.95 = 233.79/x
  3. Step 3: Cross multiply
    381.14x = 525.95 × 233.79
  4. Step 4: Simplify right side
    381.14x = 122,960.68
  5. Step 5: Solve for x
    x = 122,960.68/381.14
  6. Step 6: Final answer
    x = 322.62

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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.