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Finding the Fourth Proportional to 518.61, 776.09 and 323.70

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Solution

The fourth proportional to 518.61, 776.09 and 323.70 is: 484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.61 : 776.09 = 323.70 : x
  2. Step 2: Convert to fraction form
    518.61/776.09 = 323.70/x
  3. Step 3: Cross multiply
    518.61x = 776.09 × 323.70
  4. Step 4: Simplify right side
    518.61x = 251,219.20
  5. Step 5: Solve for x
    x = 251,219.20/518.61
  6. Step 6: Final answer
    x = 484.41

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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.