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Finding the Fourth Proportional to 495.27, 683.42 and 282.57

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Solution

The fourth proportional to 495.27, 683.42 and 282.57 is: 389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.27 : 683.42 = 282.57 : x
  2. Step 2: Convert to fraction form
    495.27/683.42 = 282.57/x
  3. Step 3: Cross multiply
    495.27x = 683.42 × 282.57
  4. Step 4: Simplify right side
    495.27x = 193,112.58
  5. Step 5: Solve for x
    x = 193,112.58/495.27
  6. Step 6: Final answer
    x = 389.91

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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.