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Finding the Fourth Proportional to 668.20, 921.77 and 406.03

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Solution

The fourth proportional to 668.20, 921.77 and 406.03 is: 560.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.20 : 921.77 = 406.03 : x
  2. Step 2: Convert to fraction form
    668.20/921.77 = 406.03/x
  3. Step 3: Cross multiply
    668.20x = 921.77 × 406.03
  4. Step 4: Simplify right side
    668.20x = 374,264.24
  5. Step 5: Solve for x
    x = 374,264.24/668.20
  6. Step 6: Final answer
    x = 560.11

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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.