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Finding the Fourth Proportional to 380.22, 524.73 and 214.43

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Solution

The fourth proportional to 380.22, 524.73 and 214.43 is: 295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 524.73 = 214.43 : x
  2. Step 2: Convert to fraction form
    380.22/524.73 = 214.43/x
  3. Step 3: Cross multiply
    380.22x = 524.73 × 214.43
  4. Step 4: Simplify right side
    380.22x = 112,515.23
  5. Step 5: Solve for x
    x = 112,515.23/380.22
  6. Step 6: Final answer
    x = 295.92

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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.