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Finding the Fourth Proportional to 611.90, 844.41 and 378.89

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Solution

The fourth proportional to 611.90, 844.41 and 378.89 is: 522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.90 : 844.41 = 378.89 : x
  2. Step 2: Convert to fraction form
    611.90/844.41 = 378.89/x
  3. Step 3: Cross multiply
    611.90x = 844.41 × 378.89
  4. Step 4: Simplify right side
    611.90x = 319,938.50
  5. Step 5: Solve for x
    x = 319,938.50/611.90
  6. Step 6: Final answer
    x = 522.86

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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.