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Finding the Fourth Proportional to 921.40, 1,381.22 and 344.14

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Solution

The fourth proportional to 921.40, 1,381.22 and 344.14 is: 515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.40 : 1,381.22 = 344.14 : x
  2. Step 2: Convert to fraction form
    921.40/1,381.22 = 344.14/x
  3. Step 3: Cross multiply
    921.40x = 1,381.22 × 344.14
  4. Step 4: Simplify right side
    921.40x = 475,333.05
  5. Step 5: Solve for x
    x = 475,333.05/921.40
  6. Step 6: Final answer
    x = 515.88

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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.