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Finding the Fourth Proportional to 599.78, 827.64 and 337.74

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Solution

The fourth proportional to 599.78, 827.64 and 337.74 is: 466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 827.64 = 337.74 : x
  2. Step 2: Convert to fraction form
    599.78/827.64 = 337.74/x
  3. Step 3: Cross multiply
    599.78x = 827.64 × 337.74
  4. Step 4: Simplify right side
    599.78x = 279,527.13
  5. Step 5: Solve for x
    x = 279,527.13/599.78
  6. Step 6: Final answer
    x = 466.05

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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.