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Finding the Fourth Proportional to 667.45, 920.61 and 446.05

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Solution

The fourth proportional to 667.45, 920.61 and 446.05 is: 615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.45 : 920.61 = 446.05 : x
  2. Step 2: Convert to fraction form
    667.45/920.61 = 446.05/x
  3. Step 3: Cross multiply
    667.45x = 920.61 × 446.05
  4. Step 4: Simplify right side
    667.45x = 410,638.09
  5. Step 5: Solve for x
    x = 410,638.09/667.45
  6. Step 6: Final answer
    x = 615.23

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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.