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Finding the Fourth Proportional to 496.30, 684.82 and 286.45

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Solution

The fourth proportional to 496.30, 684.82 and 286.45 is: 395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.30 : 684.82 = 286.45 : x
  2. Step 2: Convert to fraction form
    496.30/684.82 = 286.45/x
  3. Step 3: Cross multiply
    496.30x = 684.82 × 286.45
  4. Step 4: Simplify right side
    496.30x = 196,164.26
  5. Step 5: Solve for x
    x = 196,164.26/496.30
  6. Step 6: Final answer
    x = 395.26

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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.