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Finding the Fourth Proportional to 495.57, 683.96 and 285.78

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Solution

The fourth proportional to 495.57, 683.96 and 285.78 is: 394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.57 : 683.96 = 285.78 : x
  2. Step 2: Convert to fraction form
    495.57/683.96 = 285.78/x
  3. Step 3: Cross multiply
    495.57x = 683.96 × 285.78
  4. Step 4: Simplify right side
    495.57x = 195,462.09
  5. Step 5: Solve for x
    x = 195,462.09/495.57
  6. Step 6: Final answer
    x = 394.42

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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.