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Finding the Fourth Proportional to 495.25, 683.99 and 339.73

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Solution

The fourth proportional to 495.25, 683.99 and 339.73 is: 469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.25 : 683.99 = 339.73 : x
  2. Step 2: Convert to fraction form
    495.25/683.99 = 339.73/x
  3. Step 3: Cross multiply
    495.25x = 683.99 × 339.73
  4. Step 4: Simplify right side
    495.25x = 232,371.92
  5. Step 5: Solve for x
    x = 232,371.92/495.25
  6. Step 6: Final answer
    x = 469.20

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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.