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Finding the Fourth Proportional to 518.64, 779.67 and 480.60

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Solution

The fourth proportional to 518.64, 779.67 and 480.60 is: 722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.64 : 779.67 = 480.60 : x
  2. Step 2: Convert to fraction form
    518.64/779.67 = 480.60/x
  3. Step 3: Cross multiply
    518.64x = 779.67 × 480.60
  4. Step 4: Simplify right side
    518.64x = 374,706.48
  5. Step 5: Solve for x
    x = 374,706.48/518.64
  6. Step 6: Final answer
    x = 722.48

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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.