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Finding the Fourth Proportional to 495.73, 683.93 and 309.09

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Solution

The fourth proportional to 495.73, 683.93 and 309.09 is: 426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.73 : 683.93 = 309.09 : x
  2. Step 2: Convert to fraction form
    495.73/683.93 = 309.09/x
  3. Step 3: Cross multiply
    495.73x = 683.93 × 309.09
  4. Step 4: Simplify right side
    495.73x = 211,396.70
  5. Step 5: Solve for x
    x = 211,396.70/495.73
  6. Step 6: Final answer
    x = 426.44

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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.