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Finding the Fourth Proportional to 540.87, 811.40 and 216.26

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Solution

The fourth proportional to 540.87, 811.40 and 216.26 is: 324.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.87 : 811.40 = 216.26 : x
  2. Step 2: Convert to fraction form
    540.87/811.40 = 216.26/x
  3. Step 3: Cross multiply
    540.87x = 811.40 × 216.26
  4. Step 4: Simplify right side
    540.87x = 175,473.36
  5. Step 5: Solve for x
    x = 175,473.36/540.87
  6. Step 6: Final answer
    x = 324.43

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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.