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Finding the Fourth Proportional to 650.42, 976.50 and 406.16

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Solution

The fourth proportional to 650.42, 976.50 and 406.16 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.42 : 976.50 = 406.16 : x
  2. Step 2: Convert to fraction form
    650.42/976.50 = 406.16/x
  3. Step 3: Cross multiply
    650.42x = 976.50 × 406.16
  4. Step 4: Simplify right side
    650.42x = 396,615.24
  5. Step 5: Solve for x
    x = 396,615.24/650.42
  6. Step 6: Final answer
    x = 609.78

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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.