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Finding the Fourth Proportional to 518.99, 716.17 and 297.90

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Solution

The fourth proportional to 518.99, 716.17 and 297.90 is: 411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.99 : 716.17 = 297.90 : x
  2. Step 2: Convert to fraction form
    518.99/716.17 = 297.90/x
  3. Step 3: Cross multiply
    518.99x = 716.17 × 297.90
  4. Step 4: Simplify right side
    518.99x = 213,348.03
  5. Step 5: Solve for x
    x = 213,348.03/518.99
  6. Step 6: Final answer
    x = 411.08

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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.