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Finding the Fourth Proportional to 668.24, 921.92 and 406.16

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Solution

The fourth proportional to 668.24, 921.92 and 406.16 is: 560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.24 : 921.92 = 406.16 : x
  2. Step 2: Convert to fraction form
    668.24/921.92 = 406.16/x
  3. Step 3: Cross multiply
    668.24x = 921.92 × 406.16
  4. Step 4: Simplify right side
    668.24x = 374,447.03
  5. Step 5: Solve for x
    x = 374,447.03/668.24
  6. Step 6: Final answer
    x = 560.35

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