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Finding the Fourth Proportional to 380.11, 524.57 and 214.33

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Solution

The fourth proportional to 380.11, 524.57 and 214.33 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.11 : 524.57 = 214.33 : x
  2. Step 2: Convert to fraction form
    380.11/524.57 = 214.33/x
  3. Step 3: Cross multiply
    380.11x = 524.57 × 214.33
  4. Step 4: Simplify right side
    380.11x = 112,431.62
  5. Step 5: Solve for x
    x = 112,431.62/380.11
  6. Step 6: Final answer
    x = 295.79

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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.