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Finding the Fourth Proportional to 577.24, 796.44 and 367.60

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Solution

The fourth proportional to 577.24, 796.44 and 367.60 is: 507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.24 : 796.44 = 367.60 : x
  2. Step 2: Convert to fraction form
    577.24/796.44 = 367.60/x
  3. Step 3: Cross multiply
    577.24x = 796.44 × 367.60
  4. Step 4: Simplify right side
    577.24x = 292,771.34
  5. Step 5: Solve for x
    x = 292,771.34/577.24
  6. Step 6: Final answer
    x = 507.19

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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.