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Finding the Fourth Proportional to 577.39, 866.72 and 299.67

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Solution

The fourth proportional to 577.39, 866.72 and 299.67 is: 449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.39 : 866.72 = 299.67 : x
  2. Step 2: Convert to fraction form
    577.39/866.72 = 299.67/x
  3. Step 3: Cross multiply
    577.39x = 866.72 × 299.67
  4. Step 4: Simplify right side
    577.39x = 259,729.98
  5. Step 5: Solve for x
    x = 259,729.98/577.39
  6. Step 6: Final answer
    x = 449.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.