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Finding the Fourth Proportional to 519.92, 716.88 and 426.32

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Solution

The fourth proportional to 519.92, 716.88 and 426.32 is: 587.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.92 : 716.88 = 426.32 : x
  2. Step 2: Convert to fraction form
    519.92/716.88 = 426.32/x
  3. Step 3: Cross multiply
    519.92x = 716.88 × 426.32
  4. Step 4: Simplify right side
    519.92x = 305,620.28
  5. Step 5: Solve for x
    x = 305,620.28/519.92
  6. Step 6: Final answer
    x = 587.82

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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.