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Finding the Fourth Proportional to 518.86, 716.39 and 371.54

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Solution

The fourth proportional to 518.86, 716.39 and 371.54 is: 512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.86 : 716.39 = 371.54 : x
  2. Step 2: Convert to fraction form
    518.86/716.39 = 371.54/x
  3. Step 3: Cross multiply
    518.86x = 716.39 × 371.54
  4. Step 4: Simplify right side
    518.86x = 266,166.93
  5. Step 5: Solve for x
    x = 266,166.93/518.86
  6. Step 6: Final answer
    x = 512.99

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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.