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Finding the Fourth Proportional to 577.73, 866.95 and 269.42

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Solution

The fourth proportional to 577.73, 866.95 and 269.42 is: 404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.73 : 866.95 = 269.42 : x
  2. Step 2: Convert to fraction form
    577.73/866.95 = 269.42/x
  3. Step 3: Cross multiply
    577.73x = 866.95 × 269.42
  4. Step 4: Simplify right side
    577.73x = 233,572.32
  5. Step 5: Solve for x
    x = 233,572.32/577.73
  6. Step 6: Final answer
    x = 404.30

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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.