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Finding the Fourth Proportional to 610.99, 843.56 and 378.25

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Solution

The fourth proportional to 610.99, 843.56 and 378.25 is: 522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.99 : 843.56 = 378.25 : x
  2. Step 2: Convert to fraction form
    610.99/843.56 = 378.25/x
  3. Step 3: Cross multiply
    610.99x = 843.56 × 378.25
  4. Step 4: Simplify right side
    610.99x = 319,076.57
  5. Step 5: Solve for x
    x = 319,076.57/610.99
  6. Step 6: Final answer
    x = 522.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.