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Finding the Fourth Proportional to 490.32, 676.49 and 293.67

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Solution

The fourth proportional to 490.32, 676.49 and 293.67 is: 405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.32 : 676.49 = 293.67 : x
  2. Step 2: Convert to fraction form
    490.32/676.49 = 293.67/x
  3. Step 3: Cross multiply
    490.32x = 676.49 × 293.67
  4. Step 4: Simplify right side
    490.32x = 198,663.35
  5. Step 5: Solve for x
    x = 198,663.35/490.32
  6. Step 6: Final answer
    x = 405.17

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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.