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Finding the Fourth Proportional to 577.96, 796.63 and 459.73

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Solution

The fourth proportional to 577.96, 796.63 and 459.73 is: 633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.96 : 796.63 = 459.73 : x
  2. Step 2: Convert to fraction form
    577.96/796.63 = 459.73/x
  3. Step 3: Cross multiply
    577.96x = 796.63 × 459.73
  4. Step 4: Simplify right side
    577.96x = 366,234.71
  5. Step 5: Solve for x
    x = 366,234.71/577.96
  6. Step 6: Final answer
    x = 633.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.