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Finding the Fourth Proportional to 599.68, 827.62 and 337.78

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Solution

The fourth proportional to 599.68, 827.62 and 337.78 is: 466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.68 : 827.62 = 337.78 : x
  2. Step 2: Convert to fraction form
    599.68/827.62 = 337.78/x
  3. Step 3: Cross multiply
    599.68x = 827.62 × 337.78
  4. Step 4: Simplify right side
    599.68x = 279,550.57
  5. Step 5: Solve for x
    x = 279,550.57/599.68
  6. Step 6: Final answer
    x = 466.17

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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.