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Finding the Fourth Proportional to 496.12, 684.43 and 296.84

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Solution

The fourth proportional to 496.12, 684.43 and 296.84 is: 409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.12 : 684.43 = 296.84 : x
  2. Step 2: Convert to fraction form
    496.12/684.43 = 296.84/x
  3. Step 3: Cross multiply
    496.12x = 684.43 × 296.84
  4. Step 4: Simplify right side
    496.12x = 203,162.04
  5. Step 5: Solve for x
    x = 203,162.04/496.12
  6. Step 6: Final answer
    x = 409.50

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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.