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Finding the Fourth Proportional to 518.44, 776.92 and 410.44

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Solution

The fourth proportional to 518.44, 776.92 and 410.44 is: 615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.44 : 776.92 = 410.44 : x
  2. Step 2: Convert to fraction form
    518.44/776.92 = 410.44/x
  3. Step 3: Cross multiply
    518.44x = 776.92 × 410.44
  4. Step 4: Simplify right side
    518.44x = 318,879.04
  5. Step 5: Solve for x
    x = 318,879.04/518.44
  6. Step 6: Final answer
    x = 615.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.