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Finding the Fourth Proportional to 599.50, 827.35 and 337.54

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Solution

The fourth proportional to 599.50, 827.35 and 337.54 is: 465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.50 : 827.35 = 337.54 : x
  2. Step 2: Convert to fraction form
    599.50/827.35 = 337.54/x
  3. Step 3: Cross multiply
    599.50x = 827.35 × 337.54
  4. Step 4: Simplify right side
    599.50x = 279,263.72
  5. Step 5: Solve for x
    x = 279,263.72/599.50
  6. Step 6: Final answer
    x = 465.83

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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.