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Finding the Fourth Proportional to 540.82, 811.50 and 216.46

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Solution

The fourth proportional to 540.82, 811.50 and 216.46 is: 324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.82 : 811.50 = 216.46 : x
  2. Step 2: Convert to fraction form
    540.82/811.50 = 216.46/x
  3. Step 3: Cross multiply
    540.82x = 811.50 × 216.46
  4. Step 4: Simplify right side
    540.82x = 175,657.29
  5. Step 5: Solve for x
    x = 175,657.29/540.82
  6. Step 6: Final answer
    x = 324.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.