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Finding the Fourth Proportional to 495.26, 683.45 and 285.43

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Solution

The fourth proportional to 495.26, 683.45 and 285.43 is: 393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.26 : 683.45 = 285.43 : x
  2. Step 2: Convert to fraction form
    495.26/683.45 = 285.43/x
  3. Step 3: Cross multiply
    495.26x = 683.45 × 285.43
  4. Step 4: Simplify right side
    495.26x = 195,076.56
  5. Step 5: Solve for x
    x = 195,076.56/495.26
  6. Step 6: Final answer
    x = 393.89

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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.