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Finding the Fourth Proportional to 511.20, 766.80 and 453.49

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Solution

The fourth proportional to 511.20, 766.80 and 453.49 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.20 : 766.80 = 453.49 : x
  2. Step 2: Convert to fraction form
    511.20/766.80 = 453.49/x
  3. Step 3: Cross multiply
    511.20x = 766.80 × 453.49
  4. Step 4: Simplify right side
    511.20x = 347,734.22
  5. Step 5: Solve for x
    x = 347,734.22/511.20
  6. Step 6: Final answer
    x = 680.23

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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.