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Finding the Fourth Proportional to 495.71, 684.01 and 274.62

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Solution

The fourth proportional to 495.71, 684.01 and 274.62 is: 378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.71 : 684.01 = 274.62 : x
  2. Step 2: Convert to fraction form
    495.71/684.01 = 274.62/x
  3. Step 3: Cross multiply
    495.71x = 684.01 × 274.62
  4. Step 4: Simplify right side
    495.71x = 187,842.83
  5. Step 5: Solve for x
    x = 187,842.83/495.71
  6. Step 6: Final answer
    x = 378.94

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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.