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Finding the Fourth Proportional to 597.96, 824.22 and 450.12

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Solution

The fourth proportional to 597.96, 824.22 and 450.12 is: 620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 824.22 = 450.12 : x
  2. Step 2: Convert to fraction form
    597.96/824.22 = 450.12/x
  3. Step 3: Cross multiply
    597.96x = 824.22 × 450.12
  4. Step 4: Simplify right side
    597.96x = 370,997.91
  5. Step 5: Solve for x
    x = 370,997.91/597.96
  6. Step 6: Final answer
    x = 620.44

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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.