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Finding the Fourth Proportional to 553.73, 764.13 and 343.89

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Solution

The fourth proportional to 553.73, 764.13 and 343.89 is: 474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.73 : 764.13 = 343.89 : x
  2. Step 2: Convert to fraction form
    553.73/764.13 = 343.89/x
  3. Step 3: Cross multiply
    553.73x = 764.13 × 343.89
  4. Step 4: Simplify right side
    553.73x = 262,777.96
  5. Step 5: Solve for x
    x = 262,777.96/553.73
  6. Step 6: Final answer
    x = 474.56

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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.