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Finding the Fourth Proportional to 667.96, 921.64 and 406.04

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Solution

The fourth proportional to 667.96, 921.64 and 406.04 is: 560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.96 : 921.64 = 406.04 : x
  2. Step 2: Convert to fraction form
    667.96/921.64 = 406.04/x
  3. Step 3: Cross multiply
    667.96x = 921.64 × 406.04
  4. Step 4: Simplify right side
    667.96x = 374,222.71
  5. Step 5: Solve for x
    x = 374,222.71/667.96
  6. Step 6: Final answer
    x = 560.25

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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.