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Finding the Fourth Proportional to 391.62, 540.41 and 214.57

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Solution

The fourth proportional to 391.62, 540.41 and 214.57 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.62 : 540.41 = 214.57 : x
  2. Step 2: Convert to fraction form
    391.62/540.41 = 214.57/x
  3. Step 3: Cross multiply
    391.62x = 540.41 × 214.57
  4. Step 4: Simplify right side
    391.62x = 115,955.77
  5. Step 5: Solve for x
    x = 115,955.77/391.62
  6. Step 6: Final answer
    x = 296.09

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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.