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Finding the Fourth Proportional to 596.68, 823.43 and 449.05

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Solution

The fourth proportional to 596.68, 823.43 and 449.05 is: 619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.68 : 823.43 = 449.05 : x
  2. Step 2: Convert to fraction form
    596.68/823.43 = 449.05/x
  3. Step 3: Cross multiply
    596.68x = 823.43 × 449.05
  4. Step 4: Simplify right side
    596.68x = 369,761.24
  5. Step 5: Solve for x
    x = 369,761.24/596.68
  6. Step 6: Final answer
    x = 619.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.