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Finding the Fourth Proportional to 885.44, 1,327.32 and 398

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Solution

The fourth proportional to 885.44, 1,327.32 and 398 is: 596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.44 : 1,327.32 = 398 : x
  2. Step 2: Convert to fraction form
    885.44/1,327.32 = 398/x
  3. Step 3: Cross multiply
    885.44x = 1,327.32 × 398
  4. Step 4: Simplify right side
    885.44x = 528,273.36
  5. Step 5: Solve for x
    x = 528,273.36/885.44
  6. Step 6: Final answer
    x = 596.62

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Why These Related Problems?

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