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Finding the Fourth Proportional to 518.23, 776.30 and 257.44

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Solution

The fourth proportional to 518.23, 776.30 and 257.44 is: 385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.23 : 776.30 = 257.44 : x
  2. Step 2: Convert to fraction form
    518.23/776.30 = 257.44/x
  3. Step 3: Cross multiply
    518.23x = 776.30 × 257.44
  4. Step 4: Simplify right side
    518.23x = 199,853.62
  5. Step 5: Solve for x
    x = 199,853.62/518.23
  6. Step 6: Final answer
    x = 385.65

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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.