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Finding the Fourth Proportional to 577.87, 866.82 and 226.46

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Solution

The fourth proportional to 577.87, 866.82 and 226.46 is: 339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.87 : 866.82 = 226.46 : x
  2. Step 2: Convert to fraction form
    577.87/866.82 = 226.46/x
  3. Step 3: Cross multiply
    577.87x = 866.82 × 226.46
  4. Step 4: Simplify right side
    577.87x = 196,302.76
  5. Step 5: Solve for x
    x = 196,302.76/577.87
  6. Step 6: Final answer
    x = 339.70

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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.