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Finding the Fourth Proportional to 519.14, 716.74 and 394.58

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Solution

The fourth proportional to 519.14, 716.74 and 394.58 is: 544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.14 : 716.74 = 394.58 : x
  2. Step 2: Convert to fraction form
    519.14/716.74 = 394.58/x
  3. Step 3: Cross multiply
    519.14x = 716.74 × 394.58
  4. Step 4: Simplify right side
    519.14x = 282,811.27
  5. Step 5: Solve for x
    x = 282,811.27/519.14
  6. Step 6: Final answer
    x = 544.77

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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.