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Finding the Fourth Proportional to 519.24, 716.57 and 286.37

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Solution

The fourth proportional to 519.24, 716.57 and 286.37 is: 395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.24 : 716.57 = 286.37 : x
  2. Step 2: Convert to fraction form
    519.24/716.57 = 286.37/x
  3. Step 3: Cross multiply
    519.24x = 716.57 × 286.37
  4. Step 4: Simplify right side
    519.24x = 205,199.14
  5. Step 5: Solve for x
    x = 205,199.14/519.24
  6. Step 6: Final answer
    x = 395.19

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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.