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Finding the Fourth Proportional to 494.92, 682.71 and 317.56

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Solution

The fourth proportional to 494.92, 682.71 and 317.56 is: 438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.92 : 682.71 = 317.56 : x
  2. Step 2: Convert to fraction form
    494.92/682.71 = 317.56/x
  3. Step 3: Cross multiply
    494.92x = 682.71 × 317.56
  4. Step 4: Simplify right side
    494.92x = 216,801.39
  5. Step 5: Solve for x
    x = 216,801.39/494.92
  6. Step 6: Final answer
    x = 438.05

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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.