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Finding the Fourth Proportional to 490.67, 676.84 and 357.72

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Solution

The fourth proportional to 490.67, 676.84 and 357.72 is: 493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.67 : 676.84 = 357.72 : x
  2. Step 2: Convert to fraction form
    490.67/676.84 = 357.72/x
  3. Step 3: Cross multiply
    490.67x = 676.84 × 357.72
  4. Step 4: Simplify right side
    490.67x = 242,117.95
  5. Step 5: Solve for x
    x = 242,117.95/490.67
  6. Step 6: Final answer
    x = 493.44

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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.