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Finding the Fourth Proportional to 553.70, 764.44 and 492.20

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Solution

The fourth proportional to 553.70, 764.44 and 492.20 is: 679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.70 : 764.44 = 492.20 : x
  2. Step 2: Convert to fraction form
    553.70/764.44 = 492.20/x
  3. Step 3: Cross multiply
    553.70x = 764.44 × 492.20
  4. Step 4: Simplify right side
    553.70x = 376,255.18
  5. Step 5: Solve for x
    x = 376,255.18/553.70
  6. Step 6: Final answer
    x = 679.53

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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.