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Finding the Fourth Proportional to 511.75, 766.69 and 280.30

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Solution

The fourth proportional to 511.75, 766.69 and 280.30 is: 419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 766.69 = 280.30 : x
  2. Step 2: Convert to fraction form
    511.75/766.69 = 280.30/x
  3. Step 3: Cross multiply
    511.75x = 766.69 × 280.30
  4. Step 4: Simplify right side
    511.75x = 214,903.21
  5. Step 5: Solve for x
    x = 214,903.21/511.75
  6. Step 6: Final answer
    x = 419.94

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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.