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Finding the Fourth Proportional to 517.14, 774.45 and 439.65

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Solution

The fourth proportional to 517.14, 774.45 and 439.65 is: 658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.14 : 774.45 = 439.65 : x
  2. Step 2: Convert to fraction form
    517.14/774.45 = 439.65/x
  3. Step 3: Cross multiply
    517.14x = 774.45 × 439.65
  4. Step 4: Simplify right side
    517.14x = 340,486.94
  5. Step 5: Solve for x
    x = 340,486.94/517.14
  6. Step 6: Final answer
    x = 658.40

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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.