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Finding the Fourth Proportional to 495.92, 684.27 and 274.83

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Solution

The fourth proportional to 495.92, 684.27 and 274.83 is: 379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.92 : 684.27 = 274.83 : x
  2. Step 2: Convert to fraction form
    495.92/684.27 = 274.83/x
  3. Step 3: Cross multiply
    495.92x = 684.27 × 274.83
  4. Step 4: Simplify right side
    495.92x = 188,057.92
  5. Step 5: Solve for x
    x = 188,057.92/495.92
  6. Step 6: Final answer
    x = 379.21

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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.