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Finding the Fourth Proportional to 650.64, 974.82 and 406.80

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Solution

The fourth proportional to 650.64, 974.82 and 406.80 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.64 : 974.82 = 406.80 : x
  2. Step 2: Convert to fraction form
    650.64/974.82 = 406.80/x
  3. Step 3: Cross multiply
    650.64x = 974.82 × 406.80
  4. Step 4: Simplify right side
    650.64x = 396,556.78
  5. Step 5: Solve for x
    x = 396,556.78/650.64
  6. Step 6: Final answer
    x = 609.49

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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.