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Finding the Fourth Proportional to 577.58, 866.38 and 230.95

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Solution

The fourth proportional to 577.58, 866.38 and 230.95 is: 346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.58 : 866.38 = 230.95 : x
  2. Step 2: Convert to fraction form
    577.58/866.38 = 230.95/x
  3. Step 3: Cross multiply
    577.58x = 866.38 × 230.95
  4. Step 4: Simplify right side
    577.58x = 200,086.09
  5. Step 5: Solve for x
    x = 200,086.09/577.58
  6. Step 6: Final answer
    x = 346.42

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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.