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Finding the Fourth Proportional to 327.78, 493.74 and 309.60

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Solution

The fourth proportional to 327.78, 493.74 and 309.60 is: 466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.78 : 493.74 = 309.60 : x
  2. Step 2: Convert to fraction form
    327.78/493.74 = 309.60/x
  3. Step 3: Cross multiply
    327.78x = 493.74 × 309.60
  4. Step 4: Simplify right side
    327.78x = 152,861.90
  5. Step 5: Solve for x
    x = 152,861.90/327.78
  6. Step 6: Final answer
    x = 466.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.