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Finding the Fourth Proportional to 773.68, 1,160.44 and 280

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Solution

The fourth proportional to 773.68, 1,160.44 and 280 is: 419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.68 : 1,160.44 = 280 : x
  2. Step 2: Convert to fraction form
    773.68/1,160.44 = 280/x
  3. Step 3: Cross multiply
    773.68x = 1,160.44 × 280
  4. Step 4: Simplify right side
    773.68x = 324,923.20
  5. Step 5: Solve for x
    x = 324,923.20/773.68
  6. Step 6: Final answer
    x = 419.97

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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.