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Finding the Fourth Proportional to 391.30, 539.99 and 214.25

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Solution

The fourth proportional to 391.30, 539.99 and 214.25 is: 295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.30 : 539.99 = 214.25 : x
  2. Step 2: Convert to fraction form
    391.30/539.99 = 214.25/x
  3. Step 3: Cross multiply
    391.30x = 539.99 × 214.25
  4. Step 4: Simplify right side
    391.30x = 115,693.14
  5. Step 5: Solve for x
    x = 115,693.14/391.30
  6. Step 6: Final answer
    x = 295.67

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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.