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Finding the Fourth Proportional to 418.56, 577.26 and 269.21

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Solution

The fourth proportional to 418.56, 577.26 and 269.21 is: 371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.56 : 577.26 = 269.21 : x
  2. Step 2: Convert to fraction form
    418.56/577.26 = 269.21/x
  3. Step 3: Cross multiply
    418.56x = 577.26 × 269.21
  4. Step 4: Simplify right side
    418.56x = 155,402.36
  5. Step 5: Solve for x
    x = 155,402.36/418.56
  6. Step 6: Final answer
    x = 371.28

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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.