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Finding the Fourth Proportional to 327.38, 492.89 and 289.08

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Solution

The fourth proportional to 327.38, 492.89 and 289.08 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.38 : 492.89 = 289.08 : x
  2. Step 2: Convert to fraction form
    327.38/492.89 = 289.08/x
  3. Step 3: Cross multiply
    327.38x = 492.89 × 289.08
  4. Step 4: Simplify right side
    327.38x = 142,483.20
  5. Step 5: Solve for x
    x = 142,483.20/327.38
  6. Step 6: Final answer
    x = 435.23

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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.