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Finding the Fourth Proportional to 511.60, 767.38 and 280.44

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Solution

The fourth proportional to 511.60, 767.38 and 280.44 is: 420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.60 : 767.38 = 280.44 : x
  2. Step 2: Convert to fraction form
    511.60/767.38 = 280.44/x
  3. Step 3: Cross multiply
    511.60x = 767.38 × 280.44
  4. Step 4: Simplify right side
    511.60x = 215,204.05
  5. Step 5: Solve for x
    x = 215,204.05/511.60
  6. Step 6: Final answer
    x = 420.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.