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Finding the Fourth Proportional to 490, 676.16 and 293.38

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Solution

The fourth proportional to 490, 676.16 and 293.38 is: 404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490 : 676.16 = 293.38 : x
  2. Step 2: Convert to fraction form
    490/676.16 = 293.38/x
  3. Step 3: Cross multiply
    490x = 676.16 × 293.38
  4. Step 4: Simplify right side
    490x = 198,371.82
  5. Step 5: Solve for x
    x = 198,371.82/490
  6. Step 6: Final answer
    x = 404.84

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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.