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Finding the Fourth Proportional to 431.87, 596.01 and 327.27

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Solution

The fourth proportional to 431.87, 596.01 and 327.27 is: 451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.87 : 596.01 = 327.27 : x
  2. Step 2: Convert to fraction form
    431.87/596.01 = 327.27/x
  3. Step 3: Cross multiply
    431.87x = 596.01 × 327.27
  4. Step 4: Simplify right side
    431.87x = 195,056.19
  5. Step 5: Solve for x
    x = 195,056.19/431.87
  6. Step 6: Final answer
    x = 451.65

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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.