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Finding the Fourth Proportional to 518.59, 777.89 and 193.89

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Solution

The fourth proportional to 518.59, 777.89 and 193.89 is: 290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.59 : 777.89 = 193.89 : x
  2. Step 2: Convert to fraction form
    518.59/777.89 = 193.89/x
  3. Step 3: Cross multiply
    518.59x = 777.89 × 193.89
  4. Step 4: Simplify right side
    518.59x = 150,825.58
  5. Step 5: Solve for x
    x = 150,825.58/518.59
  6. Step 6: Final answer
    x = 290.84

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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.