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Finding the Fourth Proportional to 391.84, 540.82 and 217.24

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Solution

The fourth proportional to 391.84, 540.82 and 217.24 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.84 : 540.82 = 217.24 : x
  2. Step 2: Convert to fraction form
    391.84/540.82 = 217.24/x
  3. Step 3: Cross multiply
    391.84x = 540.82 × 217.24
  4. Step 4: Simplify right side
    391.84x = 117,487.74
  5. Step 5: Solve for x
    x = 117,487.74/391.84
  6. Step 6: Final answer
    x = 299.84

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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.