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Finding the Fourth Proportional to 515.89, 774.24 and 241.84

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Solution

The fourth proportional to 515.89, 774.24 and 241.84 is: 362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.89 : 774.24 = 241.84 : x
  2. Step 2: Convert to fraction form
    515.89/774.24 = 241.84/x
  3. Step 3: Cross multiply
    515.89x = 774.24 × 241.84
  4. Step 4: Simplify right side
    515.89x = 187,242.20
  5. Step 5: Solve for x
    x = 187,242.20/515.89
  6. Step 6: Final answer
    x = 362.95

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