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Finding the Fourth Proportional to 733.46, 1,100.31 and 446.66

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Solution

The fourth proportional to 733.46, 1,100.31 and 446.66 is: 670.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.46 : 1,100.31 = 446.66 : x
  2. Step 2: Convert to fraction form
    733.46/1,100.31 = 446.66/x
  3. Step 3: Cross multiply
    733.46x = 1,100.31 × 446.66
  4. Step 4: Simplify right side
    733.46x = 491,458.96
  5. Step 5: Solve for x
    x = 491,458.96/733.46
  6. Step 6: Final answer
    x = 670.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.