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Finding the Fourth Proportional to 380.22, 524.68 and 214.41

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Solution

The fourth proportional to 380.22, 524.68 and 214.41 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 524.68 = 214.41 : x
  2. Step 2: Convert to fraction form
    380.22/524.68 = 214.41/x
  3. Step 3: Cross multiply
    380.22x = 524.68 × 214.41
  4. Step 4: Simplify right side
    380.22x = 112,493.48
  5. Step 5: Solve for x
    x = 112,493.48/380.22
  6. Step 6: Final answer
    x = 295.86

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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.