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Finding the Fourth Proportional to 471.54, 650.75 and 280.03

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Solution

The fourth proportional to 471.54, 650.75 and 280.03 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.54 : 650.75 = 280.03 : x
  2. Step 2: Convert to fraction form
    471.54/650.75 = 280.03/x
  3. Step 3: Cross multiply
    471.54x = 650.75 × 280.03
  4. Step 4: Simplify right side
    471.54x = 182,229.52
  5. Step 5: Solve for x
    x = 182,229.52/471.54
  6. Step 6: Final answer
    x = 386.46

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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.