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Finding the Fourth Proportional to 418.43, 577.91 and 394.13

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Solution

The fourth proportional to 418.43, 577.91 and 394.13 is: 544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.43 : 577.91 = 394.13 : x
  2. Step 2: Convert to fraction form
    418.43/577.91 = 394.13/x
  3. Step 3: Cross multiply
    418.43x = 577.91 × 394.13
  4. Step 4: Simplify right side
    418.43x = 227,769.76
  5. Step 5: Solve for x
    x = 227,769.76/418.43
  6. Step 6: Final answer
    x = 544.35

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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.