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Finding the Fourth Proportional to 494.87, 683.51 and 371.07

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Solution

The fourth proportional to 494.87, 683.51 and 371.07 is: 512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.87 : 683.51 = 371.07 : x
  2. Step 2: Convert to fraction form
    494.87/683.51 = 371.07/x
  3. Step 3: Cross multiply
    494.87x = 683.51 × 371.07
  4. Step 4: Simplify right side
    494.87x = 253,628.20
  5. Step 5: Solve for x
    x = 253,628.20/494.87
  6. Step 6: Final answer
    x = 512.51

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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.