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Finding the Fourth Proportional to 381.09, 525.96 and 233.70

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Solution

The fourth proportional to 381.09, 525.96 and 233.70 is: 322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.09 : 525.96 = 233.70 : x
  2. Step 2: Convert to fraction form
    381.09/525.96 = 233.70/x
  3. Step 3: Cross multiply
    381.09x = 525.96 × 233.70
  4. Step 4: Simplify right side
    381.09x = 122,916.85
  5. Step 5: Solve for x
    x = 122,916.85/381.09
  6. Step 6: Final answer
    x = 322.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.