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Finding the Fourth Proportional to 494.62, 683.17 and 370.82

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Solution

The fourth proportional to 494.62, 683.17 and 370.82 is: 512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.62 : 683.17 = 370.82 : x
  2. Step 2: Convert to fraction form
    494.62/683.17 = 370.82/x
  3. Step 3: Cross multiply
    494.62x = 683.17 × 370.82
  4. Step 4: Simplify right side
    494.62x = 253,333.10
  5. Step 5: Solve for x
    x = 253,333.10/494.62
  6. Step 6: Final answer
    x = 512.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.