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Finding the Fourth Proportional to 418.61, 578.17 and 394.31

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Solution

The fourth proportional to 418.61, 578.17 and 394.31 is: 544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 578.17 = 394.31 : x
  2. Step 2: Convert to fraction form
    418.61/578.17 = 394.31/x
  3. Step 3: Cross multiply
    418.61x = 578.17 × 394.31
  4. Step 4: Simplify right side
    418.61x = 227,980.15
  5. Step 5: Solve for x
    x = 227,980.15/418.61
  6. Step 6: Final answer
    x = 544.61

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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.