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Finding the Fourth Proportional to 495.24, 683.39 and 274.14

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Solution

The fourth proportional to 495.24, 683.39 and 274.14 is: 378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.24 : 683.39 = 274.14 : x
  2. Step 2: Convert to fraction form
    495.24/683.39 = 274.14/x
  3. Step 3: Cross multiply
    495.24x = 683.39 × 274.14
  4. Step 4: Simplify right side
    495.24x = 187,344.53
  5. Step 5: Solve for x
    x = 187,344.53/495.24
  6. Step 6: Final answer
    x = 378.29

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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.