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Finding the Fourth Proportional to 577.21, 865.34 and 269.29

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Solution

The fourth proportional to 577.21, 865.34 and 269.29 is: 403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.21 : 865.34 = 269.29 : x
  2. Step 2: Convert to fraction form
    577.21/865.34 = 269.29/x
  3. Step 3: Cross multiply
    577.21x = 865.34 × 269.29
  4. Step 4: Simplify right side
    577.21x = 233,027.41
  5. Step 5: Solve for x
    x = 233,027.41/577.21
  6. Step 6: Final answer
    x = 403.71

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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.