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Finding the Fourth Proportional to 577.96, 866.38 and 231.04

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Solution

The fourth proportional to 577.96, 866.38 and 231.04 is: 346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.96 : 866.38 = 231.04 : x
  2. Step 2: Convert to fraction form
    577.96/866.38 = 231.04/x
  3. Step 3: Cross multiply
    577.96x = 866.38 × 231.04
  4. Step 4: Simplify right side
    577.96x = 200,168.44
  5. Step 5: Solve for x
    x = 200,168.44/577.96
  6. Step 6: Final answer
    x = 346.34

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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.