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Finding the Fourth Proportional to 495.17, 683.31 and 274.12

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Solution

The fourth proportional to 495.17, 683.31 and 274.12 is: 378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.17 : 683.31 = 274.12 : x
  2. Step 2: Convert to fraction form
    495.17/683.31 = 274.12/x
  3. Step 3: Cross multiply
    495.17x = 683.31 × 274.12
  4. Step 4: Simplify right side
    495.17x = 187,307.23
  5. Step 5: Solve for x
    x = 187,307.23/495.17
  6. Step 6: Final answer
    x = 378.27

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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.