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Finding the Fourth Proportional to 596.52, 823.46 and 449.19

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Solution

The fourth proportional to 596.52, 823.46 and 449.19 is: 620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.52 : 823.46 = 449.19 : x
  2. Step 2: Convert to fraction form
    596.52/823.46 = 449.19/x
  3. Step 3: Cross multiply
    596.52x = 823.46 × 449.19
  4. Step 4: Simplify right side
    596.52x = 369,887.75
  5. Step 5: Solve for x
    x = 369,887.75/596.52
  6. Step 6: Final answer
    x = 620.08

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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.