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Finding the Fourth Proportional to 614.22, 921.37 and 203.64

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Solution

The fourth proportional to 614.22, 921.37 and 203.64 is: 305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.22 : 921.37 = 203.64 : x
  2. Step 2: Convert to fraction form
    614.22/921.37 = 203.64/x
  3. Step 3: Cross multiply
    614.22x = 921.37 × 203.64
  4. Step 4: Simplify right side
    614.22x = 187,627.79
  5. Step 5: Solve for x
    x = 187,627.79/614.22
  6. Step 6: Final answer
    x = 305.48

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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.