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Finding the Fourth Proportional to 518.97, 716.13 and 297.99

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Solution

The fourth proportional to 518.97, 716.13 and 297.99 is: 411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.97 : 716.13 = 297.99 : x
  2. Step 2: Convert to fraction form
    518.97/716.13 = 297.99/x
  3. Step 3: Cross multiply
    518.97x = 716.13 × 297.99
  4. Step 4: Simplify right side
    518.97x = 213,399.58
  5. Step 5: Solve for x
    x = 213,399.58/518.97
  6. Step 6: Final answer
    x = 411.20

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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.