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Finding the Fourth Proportional to 599.76, 827.66 and 337.77

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Solution

The fourth proportional to 599.76, 827.66 and 337.77 is: 466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.76 : 827.66 = 337.77 : x
  2. Step 2: Convert to fraction form
    599.76/827.66 = 337.77/x
  3. Step 3: Cross multiply
    599.76x = 827.66 × 337.77
  4. Step 4: Simplify right side
    599.76x = 279,559.56
  5. Step 5: Solve for x
    x = 279,559.56/599.76
  6. Step 6: Final answer
    x = 466.12

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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.