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Finding the Fourth Proportional to 495.82, 684.16 and 274.78

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Solution

The fourth proportional to 495.82, 684.16 and 274.78 is: 379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.82 : 684.16 = 274.78 : x
  2. Step 2: Convert to fraction form
    495.82/684.16 = 274.78/x
  3. Step 3: Cross multiply
    495.82x = 684.16 × 274.78
  4. Step 4: Simplify right side
    495.82x = 187,991.09
  5. Step 5: Solve for x
    x = 187,991.09/495.82
  6. Step 6: Final answer
    x = 379.15

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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.