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Finding the Fourth Proportional to 380.11, 524.27 and 232.82

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Solution

The fourth proportional to 380.11, 524.27 and 232.82 is: 321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.11 : 524.27 = 232.82 : x
  2. Step 2: Convert to fraction form
    380.11/524.27 = 232.82/x
  3. Step 3: Cross multiply
    380.11x = 524.27 × 232.82
  4. Step 4: Simplify right side
    380.11x = 122,060.54
  5. Step 5: Solve for x
    x = 122,060.54/380.11
  6. Step 6: Final answer
    x = 321.12

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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.