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Finding the Fourth Proportional to 515.89, 774.14 and 191.48

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Solution

The fourth proportional to 515.89, 774.14 and 191.48 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.89 : 774.14 = 191.48 : x
  2. Step 2: Convert to fraction form
    515.89/774.14 = 191.48/x
  3. Step 3: Cross multiply
    515.89x = 774.14 × 191.48
  4. Step 4: Simplify right side
    515.89x = 148,232.33
  5. Step 5: Solve for x
    x = 148,232.33/515.89
  6. Step 6: Final answer
    x = 287.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.