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Finding the Fourth Proportional to 562.96, 844.44 and 274.42

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Solution

The fourth proportional to 562.96, 844.44 and 274.42 is: 411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.96 : 844.44 = 274.42 : x
  2. Step 2: Convert to fraction form
    562.96/844.44 = 274.42/x
  3. Step 3: Cross multiply
    562.96x = 844.44 × 274.42
  4. Step 4: Simplify right side
    562.96x = 231,731.22
  5. Step 5: Solve for x
    x = 231,731.22/562.96
  6. Step 6: Final answer
    x = 411.63

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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.