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Finding the Fourth Proportional to 596.74, 822.94 and 449.32

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Solution

The fourth proportional to 596.74, 822.94 and 449.32 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 822.94 = 449.32 : x
  2. Step 2: Convert to fraction form
    596.74/822.94 = 449.32/x
  3. Step 3: Cross multiply
    596.74x = 822.94 × 449.32
  4. Step 4: Simplify right side
    596.74x = 369,763.40
  5. Step 5: Solve for x
    x = 369,763.40/596.74
  6. Step 6: Final answer
    x = 619.64

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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.