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Finding the Fourth Proportional to 599.63, 827.50 and 337.65

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Solution

The fourth proportional to 599.63, 827.50 and 337.65 is: 465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.63 : 827.50 = 337.65 : x
  2. Step 2: Convert to fraction form
    599.63/827.50 = 337.65/x
  3. Step 3: Cross multiply
    599.63x = 827.50 × 337.65
  4. Step 4: Simplify right side
    599.63x = 279,405.38
  5. Step 5: Solve for x
    x = 279,405.38/599.63
  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.