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Finding the Fourth Proportional to 381.06, 525.74 and 233.54

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Solution

The fourth proportional to 381.06, 525.74 and 233.54 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 525.74 = 233.54 : x
  2. Step 2: Convert to fraction form
    381.06/525.74 = 233.54/x
  3. Step 3: Cross multiply
    381.06x = 525.74 × 233.54
  4. Step 4: Simplify right side
    381.06x = 122,781.32
  5. Step 5: Solve for x
    x = 122,781.32/381.06
  6. Step 6: Final answer
    x = 322.21

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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.