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Finding the Fourth Proportional to 260.53, 390.88 and 216.99

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Solution

The fourth proportional to 260.53, 390.88 and 216.99 is: 325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.53 : 390.88 = 216.99 : x
  2. Step 2: Convert to fraction form
    260.53/390.88 = 216.99/x
  3. Step 3: Cross multiply
    260.53x = 390.88 × 216.99
  4. Step 4: Simplify right side
    260.53x = 84,817.05
  5. Step 5: Solve for x
    x = 84,817.05/260.53
  6. Step 6: Final answer
    x = 325.56

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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.