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Finding the Fourth Proportional to 353.33, 528.92 and 261.80

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Solution

The fourth proportional to 353.33, 528.92 and 261.80 is: 391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.33 : 528.92 = 261.80 : x
  2. Step 2: Convert to fraction form
    353.33/528.92 = 261.80/x
  3. Step 3: Cross multiply
    353.33x = 528.92 × 261.80
  4. Step 4: Simplify right side
    353.33x = 138,469.95
  5. Step 5: Solve for x
    x = 138,469.95/353.33
  6. Step 6: Final answer
    x = 391.90

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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.