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Finding the Fourth Proportional to 260.30, 392.26 and 217.96

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Solution

The fourth proportional to 260.30, 392.26 and 217.96 is: 328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.30 : 392.26 = 217.96 : x
  2. Step 2: Convert to fraction form
    260.30/392.26 = 217.96/x
  3. Step 3: Cross multiply
    260.30x = 392.26 × 217.96
  4. Step 4: Simplify right side
    260.30x = 85,496.99
  5. Step 5: Solve for x
    x = 85,496.99/260.30
  6. Step 6: Final answer
    x = 328.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.