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Finding the Fourth Proportional to 518.97, 716.54 and 378.84

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Solution

The fourth proportional to 518.97, 716.54 and 378.84 is: 523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.97 : 716.54 = 378.84 : x
  2. Step 2: Convert to fraction form
    518.97/716.54 = 378.84/x
  3. Step 3: Cross multiply
    518.97x = 716.54 × 378.84
  4. Step 4: Simplify right side
    518.97x = 271,454.01
  5. Step 5: Solve for x
    x = 271,454.01/518.97
  6. Step 6: Final answer
    x = 523.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.