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Finding the Fourth Proportional to 496.35, 684.95 and 286.51

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Solution

The fourth proportional to 496.35, 684.95 and 286.51 is: 395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.35 : 684.95 = 286.51 : x
  2. Step 2: Convert to fraction form
    496.35/684.95 = 286.51/x
  3. Step 3: Cross multiply
    496.35x = 684.95 × 286.51
  4. Step 4: Simplify right side
    496.35x = 196,245.02
  5. Step 5: Solve for x
    x = 196,245.02/496.35
  6. Step 6: Final answer
    x = 395.38

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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.