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Finding the Fourth Proportional to 577.14, 866.19 and 299.68

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Solution

The fourth proportional to 577.14, 866.19 and 299.68 is: 449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.14 : 866.19 = 299.68 : x
  2. Step 2: Convert to fraction form
    577.14/866.19 = 299.68/x
  3. Step 3: Cross multiply
    577.14x = 866.19 × 299.68
  4. Step 4: Simplify right side
    577.14x = 259,578.78
  5. Step 5: Solve for x
    x = 259,578.78/577.14
  6. Step 6: Final answer
    x = 449.77

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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.