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Finding the Fourth Proportional to 577.68, 866.49 and 269.79

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Solution

The fourth proportional to 577.68, 866.49 and 269.79 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.68 : 866.49 = 269.79 : x
  2. Step 2: Convert to fraction form
    577.68/866.49 = 269.79/x
  3. Step 3: Cross multiply
    577.68x = 866.49 × 269.79
  4. Step 4: Simplify right side
    577.68x = 233,770.34
  5. Step 5: Solve for x
    x = 233,770.34/577.68
  6. Step 6: Final answer
    x = 404.67

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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.