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Finding the Fourth Proportional to 495.14, 683.27 and 274.10

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Solution

The fourth proportional to 495.14, 683.27 and 274.10 is: 378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.14 : 683.27 = 274.10 : x
  2. Step 2: Convert to fraction form
    495.14/683.27 = 274.10/x
  3. Step 3: Cross multiply
    495.14x = 683.27 × 274.10
  4. Step 4: Simplify right side
    495.14x = 187,284.31
  5. Step 5: Solve for x
    x = 187,284.31/495.14
  6. Step 6: Final answer
    x = 378.25

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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.