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Finding the Fourth Proportional to 577.49, 866.24 and 230.85

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Solution

The fourth proportional to 577.49, 866.24 and 230.85 is: 346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.49 : 866.24 = 230.85 : x
  2. Step 2: Convert to fraction form
    577.49/866.24 = 230.85/x
  3. Step 3: Cross multiply
    577.49x = 866.24 × 230.85
  4. Step 4: Simplify right side
    577.49x = 199,972.41
  5. Step 5: Solve for x
    x = 199,972.41/577.49
  6. Step 6: Final answer
    x = 346.28

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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.