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Finding the Fourth Proportional to 559.75, 839.63 and 217.75

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Solution

The fourth proportional to 559.75, 839.63 and 217.75 is: 326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.75 : 839.63 = 217.75 : x
  2. Step 2: Convert to fraction form
    559.75/839.63 = 217.75/x
  3. Step 3: Cross multiply
    559.75x = 839.63 × 217.75
  4. Step 4: Simplify right side
    559.75x = 182,829.43
  5. Step 5: Solve for x
    x = 182,829.43/559.75
  6. Step 6: Final answer
    x = 326.63

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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.