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Finding the Fourth Proportional to 511.18, 766.80 and 280.33

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Solution

The fourth proportional to 511.18, 766.80 and 280.33 is: 420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.18 : 766.80 = 280.33 : x
  2. Step 2: Convert to fraction form
    511.18/766.80 = 280.33/x
  3. Step 3: Cross multiply
    511.18x = 766.80 × 280.33
  4. Step 4: Simplify right side
    511.18x = 214,955.13
  5. Step 5: Solve for x
    x = 214,955.13/511.18
  6. Step 6: Final answer
    x = 420.51

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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.