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Finding the Fourth Proportional to 391.04, 539.62 and 213.99

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Solution

The fourth proportional to 391.04, 539.62 and 213.99 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.04 : 539.62 = 213.99 : x
  2. Step 2: Convert to fraction form
    391.04/539.62 = 213.99/x
  3. Step 3: Cross multiply
    391.04x = 539.62 × 213.99
  4. Step 4: Simplify right side
    391.04x = 115,473.28
  5. Step 5: Solve for x
    x = 115,473.28/391.04
  6. Step 6: Final answer
    x = 295.30

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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.