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Finding the Fourth Proportional to 611.49, 844.25 and 378.75

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Solution

The fourth proportional to 611.49, 844.25 and 378.75 is: 522.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.49 : 844.25 = 378.75 : x
  2. Step 2: Convert to fraction form
    611.49/844.25 = 378.75/x
  3. Step 3: Cross multiply
    611.49x = 844.25 × 378.75
  4. Step 4: Simplify right side
    611.49x = 319,759.69
  5. Step 5: Solve for x
    x = 319,759.69/611.49
  6. Step 6: Final answer
    x = 522.92

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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.