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Finding the Fourth Proportional to 474.92, 712.32 and 394.28

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Solution

The fourth proportional to 474.92, 712.32 and 394.28 is: 591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.92 : 712.32 = 394.28 : x
  2. Step 2: Convert to fraction form
    474.92/712.32 = 394.28/x
  3. Step 3: Cross multiply
    474.92x = 712.32 × 394.28
  4. Step 4: Simplify right side
    474.92x = 280,853.53
  5. Step 5: Solve for x
    x = 280,853.53/474.92
  6. Step 6: Final answer
    x = 591.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.