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Finding the Fourth Proportional to 495.73, 684.09 and 285.91

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Solution

The fourth proportional to 495.73, 684.09 and 285.91 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.73 : 684.09 = 285.91 : x
  2. Step 2: Convert to fraction form
    495.73/684.09 = 285.91/x
  3. Step 3: Cross multiply
    495.73x = 684.09 × 285.91
  4. Step 4: Simplify right side
    495.73x = 195,586.46
  5. Step 5: Solve for x
    x = 195,586.46/495.73
  6. Step 6: Final answer
    x = 394.54

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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.