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Finding the Fourth Proportional to 426.16, 639.34 and 385.48

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Solution

The fourth proportional to 426.16, 639.34 and 385.48 is: 578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.16 : 639.34 = 385.48 : x
  2. Step 2: Convert to fraction form
    426.16/639.34 = 385.48/x
  3. Step 3: Cross multiply
    426.16x = 639.34 × 385.48
  4. Step 4: Simplify right side
    426.16x = 246,456.59
  5. Step 5: Solve for x
    x = 246,456.59/426.16
  6. Step 6: Final answer
    x = 578.32

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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.