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Finding the Fourth Proportional to 495.43, 683.67 and 298.94

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Solution

The fourth proportional to 495.43, 683.67 and 298.94 is: 412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.43 : 683.67 = 298.94 : x
  2. Step 2: Convert to fraction form
    495.43/683.67 = 298.94/x
  3. Step 3: Cross multiply
    495.43x = 683.67 × 298.94
  4. Step 4: Simplify right side
    495.43x = 204,372.89
  5. Step 5: Solve for x
    x = 204,372.89/495.43
  6. Step 6: Final answer
    x = 412.52

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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.