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Finding the Fourth Proportional to 495.44, 683.67 and 285.62

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Solution

The fourth proportional to 495.44, 683.67 and 285.62 is: 394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.44 : 683.67 = 285.62 : x
  2. Step 2: Convert to fraction form
    495.44/683.67 = 285.62/x
  3. Step 3: Cross multiply
    495.44x = 683.67 × 285.62
  4. Step 4: Simplify right side
    495.44x = 195,269.83
  5. Step 5: Solve for x
    x = 195,269.83/495.44
  6. Step 6: Final answer
    x = 394.13

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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.