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Finding the Fourth Proportional to 547.31, 822.86 and 439.85

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Solution

The fourth proportional to 547.31, 822.86 and 439.85 is: 661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.31 : 822.86 = 439.85 : x
  2. Step 2: Convert to fraction form
    547.31/822.86 = 439.85/x
  3. Step 3: Cross multiply
    547.31x = 822.86 × 439.85
  4. Step 4: Simplify right side
    547.31x = 361,934.97
  5. Step 5: Solve for x
    x = 361,934.97/547.31
  6. Step 6: Final answer
    x = 661.30

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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.