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Finding the Fourth Proportional to 494.67, 682.73 and 295.51

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Solution

The fourth proportional to 494.67, 682.73 and 295.51 is: 407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.67 : 682.73 = 295.51 : x
  2. Step 2: Convert to fraction form
    494.67/682.73 = 295.51/x
  3. Step 3: Cross multiply
    494.67x = 682.73 × 295.51
  4. Step 4: Simplify right side
    494.67x = 201,753.54
  5. Step 5: Solve for x
    x = 201,753.54/494.67
  6. Step 6: Final answer
    x = 407.85

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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.