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Finding the Fourth Proportional to 599.41, 827.21 and 337.45

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Solution

The fourth proportional to 599.41, 827.21 and 337.45 is: 465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.41 : 827.21 = 337.45 : x
  2. Step 2: Convert to fraction form
    599.41/827.21 = 337.45/x
  3. Step 3: Cross multiply
    599.41x = 827.21 × 337.45
  4. Step 4: Simplify right side
    599.41x = 279,140.33
  5. Step 5: Solve for x
    x = 279,140.33/599.41
  6. Step 6: Final answer
    x = 465.69

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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.