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Finding the Fourth Proportional to 496.47, 684.93 and 286.62

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Solution

The fourth proportional to 496.47, 684.93 and 286.62 is: 395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.47 : 684.93 = 286.62 : x
  2. Step 2: Convert to fraction form
    496.47/684.93 = 286.62/x
  3. Step 3: Cross multiply
    496.47x = 684.93 × 286.62
  4. Step 4: Simplify right side
    496.47x = 196,314.64
  5. Step 5: Solve for x
    x = 196,314.64/496.47
  6. Step 6: Final answer
    x = 395.42

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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.