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Finding the Fourth Proportional to 577.96, 866.26 and 269.16

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Solution

The fourth proportional to 577.96, 866.26 and 269.16 is: 403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.96 : 866.26 = 269.16 : x
  2. Step 2: Convert to fraction form
    577.96/866.26 = 269.16/x
  3. Step 3: Cross multiply
    577.96x = 866.26 × 269.16
  4. Step 4: Simplify right side
    577.96x = 233,162.15
  5. Step 5: Solve for x
    x = 233,162.15/577.96
  6. Step 6: Final answer
    x = 403.42

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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.