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Finding the Fourth Proportional to 418.11, 577.14 and 308.44

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Solution

The fourth proportional to 418.11, 577.14 and 308.44 is: 425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.11 : 577.14 = 308.44 : x
  2. Step 2: Convert to fraction form
    418.11/577.14 = 308.44/x
  3. Step 3: Cross multiply
    418.11x = 577.14 × 308.44
  4. Step 4: Simplify right side
    418.11x = 178,013.06
  5. Step 5: Solve for x
    x = 178,013.06/418.11
  6. Step 6: Final answer
    x = 425.76

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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.