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Finding the Fourth Proportional to 519.05, 716.28 and 286.18

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Solution

The fourth proportional to 519.05, 716.28 and 286.18 is: 394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 716.28 = 286.18 : x
  2. Step 2: Convert to fraction form
    519.05/716.28 = 286.18/x
  3. Step 3: Cross multiply
    519.05x = 716.28 × 286.18
  4. Step 4: Simplify right side
    519.05x = 204,985.01
  5. Step 5: Solve for x
    x = 204,985.01/519.05
  6. Step 6: Final answer
    x = 394.92

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