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Finding the Fourth Proportional to 517.44, 774.68 and 464.68

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Solution

The fourth proportional to 517.44, 774.68 and 464.68 is: 695.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.44 : 774.68 = 464.68 : x
  2. Step 2: Convert to fraction form
    517.44/774.68 = 464.68/x
  3. Step 3: Cross multiply
    517.44x = 774.68 × 464.68
  4. Step 4: Simplify right side
    517.44x = 359,978.30
  5. Step 5: Solve for x
    x = 359,978.30/517.44
  6. Step 6: Final answer
    x = 695.69

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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.