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Finding the Fourth Proportional to 496.04, 684.37 and 286.16

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Solution

The fourth proportional to 496.04, 684.37 and 286.16 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.04 : 684.37 = 286.16 : x
  2. Step 2: Convert to fraction form
    496.04/684.37 = 286.16/x
  3. Step 3: Cross multiply
    496.04x = 684.37 × 286.16
  4. Step 4: Simplify right side
    496.04x = 195,839.32
  5. Step 5: Solve for x
    x = 195,839.32/496.04
  6. Step 6: Final answer
    x = 394.81

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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.