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Finding the Fourth Proportional to 611.24, 843.60 and 378.32

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Solution

The fourth proportional to 611.24, 843.60 and 378.32 is: 522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.24 : 843.60 = 378.32 : x
  2. Step 2: Convert to fraction form
    611.24/843.60 = 378.32/x
  3. Step 3: Cross multiply
    611.24x = 843.60 × 378.32
  4. Step 4: Simplify right side
    611.24x = 319,150.75
  5. Step 5: Solve for x
    x = 319,150.75/611.24
  6. Step 6: Final answer
    x = 522.14

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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.