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Finding the Fourth Proportional to 495.85, 684.31 and 274.87

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Solution

The fourth proportional to 495.85, 684.31 and 274.87 is: 379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.85 : 684.31 = 274.87 : x
  2. Step 2: Convert to fraction form
    495.85/684.31 = 274.87/x
  3. Step 3: Cross multiply
    495.85x = 684.31 × 274.87
  4. Step 4: Simplify right side
    495.85x = 188,096.29
  5. Step 5: Solve for x
    x = 188,096.29/495.85
  6. Step 6: Final answer
    x = 379.34

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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.