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Finding the Fourth Proportional to 495.91, 684.36 and 286.09

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Solution

The fourth proportional to 495.91, 684.36 and 286.09 is: 394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.91 : 684.36 = 286.09 : x
  2. Step 2: Convert to fraction form
    495.91/684.36 = 286.09/x
  3. Step 3: Cross multiply
    495.91x = 684.36 × 286.09
  4. Step 4: Simplify right side
    495.91x = 195,785.77
  5. Step 5: Solve for x
    x = 195,785.77/495.91
  6. Step 6: Final answer
    x = 394.80

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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.