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Finding the Fourth Proportional to 518.95, 716.17 and 297.92

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Solution

The fourth proportional to 518.95, 716.17 and 297.92 is: 411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.95 : 716.17 = 297.92 : x
  2. Step 2: Convert to fraction form
    518.95/716.17 = 297.92/x
  3. Step 3: Cross multiply
    518.95x = 716.17 × 297.92
  4. Step 4: Simplify right side
    518.95x = 213,362.41
  5. Step 5: Solve for x
    x = 213,362.41/518.95
  6. Step 6: Final answer
    x = 411.14

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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.