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Finding the Fourth Proportional to 944.43, 1,416.22 and 295.21

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Solution

The fourth proportional to 944.43, 1,416.22 and 295.21 is: 442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.43 : 1,416.22 = 295.21 : x
  2. Step 2: Convert to fraction form
    944.43/1,416.22 = 295.21/x
  3. Step 3: Cross multiply
    944.43x = 1,416.22 × 295.21
  4. Step 4: Simplify right side
    944.43x = 418,082.31
  5. Step 5: Solve for x
    x = 418,082.31/944.43
  6. Step 6: Final answer
    x = 442.68

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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.