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Finding the Fourth Proportional to 511.18, 766.76 and 280.17

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Solution

The fourth proportional to 511.18, 766.76 and 280.17 is: 420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.18 : 766.76 = 280.17 : x
  2. Step 2: Convert to fraction form
    511.18/766.76 = 280.17/x
  3. Step 3: Cross multiply
    511.18x = 766.76 × 280.17
  4. Step 4: Simplify right side
    511.18x = 214,821.75
  5. Step 5: Solve for x
    x = 214,821.75/511.18
  6. Step 6: Final answer
    x = 420.25

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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.