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Finding the Fourth Proportional to 490.54, 676.82 and 294

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Solution

The fourth proportional to 490.54, 676.82 and 294 is: 405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.54 : 676.82 = 294 : x
  2. Step 2: Convert to fraction form
    490.54/676.82 = 294/x
  3. Step 3: Cross multiply
    490.54x = 676.82 × 294
  4. Step 4: Simplify right side
    490.54x = 198,985.08
  5. Step 5: Solve for x
    x = 198,985.08/490.54
  6. Step 6: Final answer
    x = 405.64

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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.