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Finding the Fourth Proportional to 495.26, 683.64 and 308.78

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Solution

The fourth proportional to 495.26, 683.64 and 308.78 is: 426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.26 : 683.64 = 308.78 : x
  2. Step 2: Convert to fraction form
    495.26/683.64 = 308.78/x
  3. Step 3: Cross multiply
    495.26x = 683.64 × 308.78
  4. Step 4: Simplify right side
    495.26x = 211,094.36
  5. Step 5: Solve for x
    x = 211,094.36/495.26
  6. Step 6: Final answer
    x = 426.23

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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.