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Finding the Fourth Proportional to 577.22, 866.34 and 269.24

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Solution

The fourth proportional to 577.22, 866.34 and 269.24 is: 404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.22 : 866.34 = 269.24 : x
  2. Step 2: Convert to fraction form
    577.22/866.34 = 269.24/x
  3. Step 3: Cross multiply
    577.22x = 866.34 × 269.24
  4. Step 4: Simplify right side
    577.22x = 233,255.55
  5. Step 5: Solve for x
    x = 233,255.55/577.22
  6. Step 6: Final answer
    x = 404.11

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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.