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Finding the Fourth Proportional to 599.64, 827.44 and 337.68

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Solution

The fourth proportional to 599.64, 827.44 and 337.68 is: 465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.64 : 827.44 = 337.68 : x
  2. Step 2: Convert to fraction form
    599.64/827.44 = 337.68/x
  3. Step 3: Cross multiply
    599.64x = 827.44 × 337.68
  4. Step 4: Simplify right side
    599.64x = 279,409.94
  5. Step 5: Solve for x
    x = 279,409.94/599.64
  6. Step 6: Final answer
    x = 465.96

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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.