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Finding the Fourth Proportional to 517.27, 776.24 and 483.09

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Solution

The fourth proportional to 517.27, 776.24 and 483.09 is: 724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.27 : 776.24 = 483.09 : x
  2. Step 2: Convert to fraction form
    517.27/776.24 = 483.09/x
  3. Step 3: Cross multiply
    517.27x = 776.24 × 483.09
  4. Step 4: Simplify right side
    517.27x = 374,993.78
  5. Step 5: Solve for x
    x = 374,993.78/517.27
  6. Step 6: Final answer
    x = 724.95

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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.