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Finding the Fourth Proportional to 540.54, 811.17 and 252

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Solution

The fourth proportional to 540.54, 811.17 and 252 is: 378.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.54 : 811.17 = 252 : x
  2. Step 2: Convert to fraction form
    540.54/811.17 = 252/x
  3. Step 3: Cross multiply
    540.54x = 811.17 × 252
  4. Step 4: Simplify right side
    540.54x = 204,414.84
  5. Step 5: Solve for x
    x = 204,414.84/540.54
  6. Step 6: Final answer
    x = 378.17

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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.