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Finding the Fourth Proportional to 397.64, 599.18 and 327.08

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Solution

The fourth proportional to 397.64, 599.18 and 327.08 is: 492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.64 : 599.18 = 327.08 : x
  2. Step 2: Convert to fraction form
    397.64/599.18 = 327.08/x
  3. Step 3: Cross multiply
    397.64x = 599.18 × 327.08
  4. Step 4: Simplify right side
    397.64x = 195,979.79
  5. Step 5: Solve for x
    x = 195,979.79/397.64
  6. Step 6: Final answer
    x = 492.86

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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.