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Finding the Fourth Proportional to 577.24, 865.96 and 269.42

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Solution

The fourth proportional to 577.24, 865.96 and 269.42 is: 404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.24 : 865.96 = 269.42 : x
  2. Step 2: Convert to fraction form
    577.24/865.96 = 269.42/x
  3. Step 3: Cross multiply
    577.24x = 865.96 × 269.42
  4. Step 4: Simplify right side
    577.24x = 233,306.94
  5. Step 5: Solve for x
    x = 233,306.94/577.24
  6. Step 6: Final answer
    x = 404.18

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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.