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Finding the Fourth Proportional to 559.18, 839.16 and 270.82

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Solution

The fourth proportional to 559.18, 839.16 and 270.82 is: 406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.18 : 839.16 = 270.82 : x
  2. Step 2: Convert to fraction form
    559.18/839.16 = 270.82/x
  3. Step 3: Cross multiply
    559.18x = 839.16 × 270.82
  4. Step 4: Simplify right side
    559.18x = 227,261.31
  5. Step 5: Solve for x
    x = 227,261.31/559.18
  6. Step 6: Final answer
    x = 406.42

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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.