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Finding the Fourth Proportional to 599.29, 827.01 and 337.30

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Solution

The fourth proportional to 599.29, 827.01 and 337.30 is: 465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.29 : 827.01 = 337.30 : x
  2. Step 2: Convert to fraction form
    599.29/827.01 = 337.30/x
  3. Step 3: Cross multiply
    599.29x = 827.01 × 337.30
  4. Step 4: Simplify right side
    599.29x = 278,950.47
  5. Step 5: Solve for x
    x = 278,950.47/599.29
  6. Step 6: Final answer
    x = 465.47

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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.