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Finding the Fourth Proportional to 518.06, 776.50 and 225.80

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Solution

The fourth proportional to 518.06, 776.50 and 225.80 is: 338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.06 : 776.50 = 225.80 : x
  2. Step 2: Convert to fraction form
    518.06/776.50 = 225.80/x
  3. Step 3: Cross multiply
    518.06x = 776.50 × 225.80
  4. Step 4: Simplify right side
    518.06x = 175,333.70
  5. Step 5: Solve for x
    x = 175,333.70/518.06
  6. Step 6: Final answer
    x = 338.44

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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.