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Finding the Fourth Proportional to 517.58, 774.99 and 334.41

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Solution

The fourth proportional to 517.58, 774.99 and 334.41 is: 500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.58 : 774.99 = 334.41 : x
  2. Step 2: Convert to fraction form
    517.58/774.99 = 334.41/x
  3. Step 3: Cross multiply
    517.58x = 774.99 × 334.41
  4. Step 4: Simplify right side
    517.58x = 259,164.41
  5. Step 5: Solve for x
    x = 259,164.41/517.58
  6. Step 6: Final answer
    x = 500.73

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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.