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Finding the Fourth Proportional to 668.43, 922.25 and 406.26

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Solution

The fourth proportional to 668.43, 922.25 and 406.26 is: 560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.43 : 922.25 = 406.26 : x
  2. Step 2: Convert to fraction form
    668.43/922.25 = 406.26/x
  3. Step 3: Cross multiply
    668.43x = 922.25 × 406.26
  4. Step 4: Simplify right side
    668.43x = 374,674.30
  5. Step 5: Solve for x
    x = 374,674.30/668.43
  6. Step 6: Final answer
    x = 560.53

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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.