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Finding the Fourth Proportional to 494.51, 682.10 and 297.82

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Solution

The fourth proportional to 494.51, 682.10 and 297.82 is: 410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.51 : 682.10 = 297.82 : x
  2. Step 2: Convert to fraction form
    494.51/682.10 = 297.82/x
  3. Step 3: Cross multiply
    494.51x = 682.10 × 297.82
  4. Step 4: Simplify right side
    494.51x = 203,138.12
  5. Step 5: Solve for x
    x = 203,138.12/494.51
  6. Step 6: Final answer
    x = 410.79

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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.