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Finding the Fourth Proportional to 553.98, 764.56 and 344.10

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Solution

The fourth proportional to 553.98, 764.56 and 344.10 is: 474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.98 : 764.56 = 344.10 : x
  2. Step 2: Convert to fraction form
    553.98/764.56 = 344.10/x
  3. Step 3: Cross multiply
    553.98x = 764.56 × 344.10
  4. Step 4: Simplify right side
    553.98x = 263,085.10
  5. Step 5: Solve for x
    x = 263,085.10/553.98
  6. Step 6: Final answer
    x = 474.90

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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.