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Finding the Fourth Proportional to 496, 684.42 and 274.92

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Solution

The fourth proportional to 496, 684.42 and 274.92 is: 379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 684.42 = 274.92 : x
  2. Step 2: Convert to fraction form
    496/684.42 = 274.92/x
  3. Step 3: Cross multiply
    496x = 684.42 × 274.92
  4. Step 4: Simplify right side
    496x = 188,160.75
  5. Step 5: Solve for x
    x = 188,160.75/496
  6. Step 6: Final answer
    x = 379.36

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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.