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Finding the Fourth Proportional to 337.84, 464.56 and 327.60

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Solution

The fourth proportional to 337.84, 464.56 and 327.60 is: 450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.84 : 464.56 = 327.60 : x
  2. Step 2: Convert to fraction form
    337.84/464.56 = 327.60/x
  3. Step 3: Cross multiply
    337.84x = 464.56 × 327.60
  4. Step 4: Simplify right side
    337.84x = 152,189.86
  5. Step 5: Solve for x
    x = 152,189.86/337.84
  6. Step 6: Final answer
    x = 450.48

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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.