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Finding the Fourth Proportional to 553.68, 764.43 and 367.48

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Solution

The fourth proportional to 553.68, 764.43 and 367.48 is: 507.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.68 : 764.43 = 367.48 : x
  2. Step 2: Convert to fraction form
    553.68/764.43 = 367.48/x
  3. Step 3: Cross multiply
    553.68x = 764.43 × 367.48
  4. Step 4: Simplify right side
    553.68x = 280,912.74
  5. Step 5: Solve for x
    x = 280,912.74/553.68
  6. Step 6: Final answer
    x = 507.36

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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.