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Finding the Fourth Proportional to 577.38, 866.07 and 269.33

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Solution

The fourth proportional to 577.38, 866.07 and 269.33 is: 403.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.38 : 866.07 = 269.33 : x
  2. Step 2: Convert to fraction form
    577.38/866.07 = 269.33/x
  3. Step 3: Cross multiply
    577.38x = 866.07 × 269.33
  4. Step 4: Simplify right side
    577.38x = 233,254.30
  5. Step 5: Solve for x
    x = 233,254.30/577.38
  6. Step 6: Final answer
    x = 403.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.