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Finding the Fourth Proportional to 577.20, 866.38 and 269.27

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Solution

The fourth proportional to 577.20, 866.38 and 269.27 is: 404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 866.38 = 269.27 : x
  2. Step 2: Convert to fraction form
    577.20/866.38 = 269.27/x
  3. Step 3: Cross multiply
    577.20x = 866.38 × 269.27
  4. Step 4: Simplify right side
    577.20x = 233,290.11
  5. Step 5: Solve for x
    x = 233,290.11/577.20
  6. Step 6: Final answer
    x = 404.17

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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.