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Finding the Fourth Proportional to 330.52, 496.68 and 327.64

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Solution

The fourth proportional to 330.52, 496.68 and 327.64 is: 492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.52 : 496.68 = 327.64 : x
  2. Step 2: Convert to fraction form
    330.52/496.68 = 327.64/x
  3. Step 3: Cross multiply
    330.52x = 496.68 × 327.64
  4. Step 4: Simplify right side
    330.52x = 162,732.24
  5. Step 5: Solve for x
    x = 162,732.24/330.52
  6. Step 6: Final answer
    x = 492.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.