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Finding the Fourth Proportional to 380.61, 525.13 and 233.23

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Solution

The fourth proportional to 380.61, 525.13 and 233.23 is: 321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.61 : 525.13 = 233.23 : x
  2. Step 2: Convert to fraction form
    380.61/525.13 = 233.23/x
  3. Step 3: Cross multiply
    380.61x = 525.13 × 233.23
  4. Step 4: Simplify right side
    380.61x = 122,476.07
  5. Step 5: Solve for x
    x = 122,476.07/380.61
  6. Step 6: Final answer
    x = 321.79

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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.