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Finding the Fourth Proportional to 517.20, 774.99 and 435.66

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Solution

The fourth proportional to 517.20, 774.99 and 435.66 is: 652.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.20 : 774.99 = 435.66 : x
  2. Step 2: Convert to fraction form
    517.20/774.99 = 435.66/x
  3. Step 3: Cross multiply
    517.20x = 774.99 × 435.66
  4. Step 4: Simplify right side
    517.20x = 337,632.14
  5. Step 5: Solve for x
    x = 337,632.14/517.20
  6. Step 6: Final answer
    x = 652.81

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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.