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Finding the Fourth Proportional to 494.71, 682.71 and 298.18

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Solution

The fourth proportional to 494.71, 682.71 and 298.18 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.71 : 682.71 = 298.18 : x
  2. Step 2: Convert to fraction form
    494.71/682.71 = 298.18/x
  3. Step 3: Cross multiply
    494.71x = 682.71 × 298.18
  4. Step 4: Simplify right side
    494.71x = 203,570.47
  5. Step 5: Solve for x
    x = 203,570.47/494.71
  6. Step 6: Final answer
    x = 411.49

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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.