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Finding the Fourth Proportional to 429.31, 642.71 and 327.01

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Solution

The fourth proportional to 429.31, 642.71 and 327.01 is: 489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.31 : 642.71 = 327.01 : x
  2. Step 2: Convert to fraction form
    429.31/642.71 = 327.01/x
  3. Step 3: Cross multiply
    429.31x = 642.71 × 327.01
  4. Step 4: Simplify right side
    429.31x = 210,170.96
  5. Step 5: Solve for x
    x = 210,170.96/429.31
  6. Step 6: Final answer
    x = 489.56

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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.