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Finding the Fourth Proportional to 836.73, 1,255.30 and 349.52

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Solution

The fourth proportional to 836.73, 1,255.30 and 349.52 is: 524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.73 : 1,255.30 = 349.52 : x
  2. Step 2: Convert to fraction form
    836.73/1,255.30 = 349.52/x
  3. Step 3: Cross multiply
    836.73x = 1,255.30 × 349.52
  4. Step 4: Simplify right side
    836.73x = 438,752.46
  5. Step 5: Solve for x
    x = 438,752.46/836.73
  6. Step 6: Final answer
    x = 524.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.