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Finding the Fourth Proportional to 391.34, 540.03 and 214.29

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Solution

The fourth proportional to 391.34, 540.03 and 214.29 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.34 : 540.03 = 214.29 : x
  2. Step 2: Convert to fraction form
    391.34/540.03 = 214.29/x
  3. Step 3: Cross multiply
    391.34x = 540.03 × 214.29
  4. Step 4: Simplify right side
    391.34x = 115,723.03
  5. Step 5: Solve for x
    x = 115,723.03/391.34
  6. Step 6: Final answer
    x = 295.71

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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.