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Finding the Fourth Proportional to 427.86, 589.77 and 280.44

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Solution

The fourth proportional to 427.86, 589.77 and 280.44 is: 386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.86 : 589.77 = 280.44 : x
  2. Step 2: Convert to fraction form
    427.86/589.77 = 280.44/x
  3. Step 3: Cross multiply
    427.86x = 589.77 × 280.44
  4. Step 4: Simplify right side
    427.86x = 165,395.10
  5. Step 5: Solve for x
    x = 165,395.10/427.86
  6. Step 6: Final answer
    x = 386.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.