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Finding the Fourth Proportional to 490.55, 676.16 and 342.92

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Solution

The fourth proportional to 490.55, 676.16 and 342.92 is: 472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.55 : 676.16 = 342.92 : x
  2. Step 2: Convert to fraction form
    490.55/676.16 = 342.92/x
  3. Step 3: Cross multiply
    490.55x = 676.16 × 342.92
  4. Step 4: Simplify right side
    490.55x = 231,863.69
  5. Step 5: Solve for x
    x = 231,863.69/490.55
  6. Step 6: Final answer
    x = 472.67

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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.