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Finding the Fourth Proportional to 884.96, 1,327.44 and 307.82

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Solution

The fourth proportional to 884.96, 1,327.44 and 307.82 is: 461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.96 : 1,327.44 = 307.82 : x
  2. Step 2: Convert to fraction form
    884.96/1,327.44 = 307.82/x
  3. Step 3: Cross multiply
    884.96x = 1,327.44 × 307.82
  4. Step 4: Simplify right side
    884.96x = 408,612.58
  5. Step 5: Solve for x
    x = 408,612.58/884.96
  6. Step 6: Final answer
    x = 461.73

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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.