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Finding the Fourth Proportional to 494.90, 682.61 and 401.64

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Solution

The fourth proportional to 494.90, 682.61 and 401.64 is: 553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.90 : 682.61 = 401.64 : x
  2. Step 2: Convert to fraction form
    494.90/682.61 = 401.64/x
  3. Step 3: Cross multiply
    494.90x = 682.61 × 401.64
  4. Step 4: Simplify right side
    494.90x = 274,163.48
  5. Step 5: Solve for x
    x = 274,163.48/494.90
  6. Step 6: Final answer
    x = 553.98

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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.