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Finding the Fourth Proportional to 260.79, 359.94 and 217.05

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Solution

The fourth proportional to 260.79, 359.94 and 217.05 is: 299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.79 : 359.94 = 217.05 : x
  2. Step 2: Convert to fraction form
    260.79/359.94 = 217.05/x
  3. Step 3: Cross multiply
    260.79x = 359.94 × 217.05
  4. Step 4: Simplify right side
    260.79x = 78,124.98
  5. Step 5: Solve for x
    x = 78,124.98/260.79
  6. Step 6: Final answer
    x = 299.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.