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Finding the Fourth Proportional to 577.38, 796.86 and 367.59

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Solution

The fourth proportional to 577.38, 796.86 and 367.59 is: 507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.38 : 796.86 = 367.59 : x
  2. Step 2: Convert to fraction form
    577.38/796.86 = 367.59/x
  3. Step 3: Cross multiply
    577.38x = 796.86 × 367.59
  4. Step 4: Simplify right side
    577.38x = 292,917.77
  5. Step 5: Solve for x
    x = 292,917.77/577.38
  6. Step 6: Final answer
    x = 507.32

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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.